Question 1

A card is drawn from an ordinary deck of 52 playing cards. Given that it is a jack(J), queen(Q) or king(K), what is the probability that a jack was drawn? ​

Accepted Answer

The answer of A card is drawn from an ordinary...

Question 2

A bag contains 7 red balls numbered 1-7 and 15 white balls numbered 8-22. One ball is drawn from the bag. What is the probability that the ball is red R, given that the ball is even-numbered E? ​

Accepted Answer

The answer of A bag contains 7 red balls numbered...

Question 3

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female or Hispanic. ​

Accepted Answer

The answer of The following table gives the numbers of...

Question 4

Of 100 students, 26 can speak French F, 33 can speak German G, and 16 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German? ​

Accepted Answer

The answer of Of 100 students, 26 can speak French...

Question 5

A mathematics class consists of 17 engineering majors E, 13 science majors S, and 9 liberal arts majors LA. Twelve of the engineering students, 3 of the science majors, and 3 of the liberal arts majors are female. What is the probability that a student selected at random is an engineering major or is a female F? ​

Accepted Answer

The answer of A mathematics class consists of 17 engineering...

Question 6

A mathematics class consists of 9 engineering majors E, 14 science majors S, and 8 liberal arts majors LA. What is the probability that a student selected at random will be a science or liberal arts major? ​

Accepted Answer

The answer of A mathematics class consists of 9 engineering...

Question 7

Suppose that a person groups 18 objects into three groups in such a way that ​
6 objects are in group A.
6 objects are in group B.
7 objects are in group C.
3 objects are in both group A and group B.
5 objects are in both group B and group C.
4 objects are in both group A and group C.
2 objects are in all three groups.
​
What is the probability that an object chosen at random has been placed in group A or group B?
​

Accepted Answer

The answer of Suppose that a person groups 18 objects...

Question 8

A mathematics class consists of 14 engineering majors E, 8 science majors S, and 15 liberal arts majors LA. What is the probability that a student selected at random will be an engineering or science major? ​

Accepted Answer

The answer of A mathematics class consists of 14 engineering...

Question 9

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected is female and makes less than $30,000? ​

Accepted Answer

From the table, we can see that the percentage of females making less than $30,000 is 21%. Therefore, the probability of selecting a female employee who makes less than $30,000 is 0.21.

Question 10

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was Hispanic.

Accepted Answer

The answer of The following table gives the numbers of...

Question 11

According to a recent medical study, 196 of 200 mammograms turn out to be normal. What is the probability that the mammogram of a woman chosen at random will show an abnormality? ​

Accepted Answer

The answer of According to a recent medical study, 196...

Question 12

A bag contains 11 red balls and 13 white balls. Two balls are drawn without replacement. What is the probability that the second ball is white W, given that the first ball is red R? ​

Accepted Answer

The answer of A bag contains 11 red balls and...

Question 13

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female. ​

​

Accepted Answer

The answer of The following table gives the numbers of...

Question 14

The probability that a wife W watches a certain television show is 0.31, that her husband H watches it is 0.21, and that both watch the show is 0.05. What is the probability, to two decimal places, that either the husband or the wife watches this show? ​

Accepted Answer

To find the probability that either the husband or the wife watches the show, we need to add the probabilities of each event happening and subtract the probability of both events happening (so we don't count it twice). 
So, 
Pr(H or W) = Pr(H) + Pr(W) - Pr(H and W)
Pr(H or W) = 0.21 + 0.31 - 0.05
Pr(H or W) = 0.47
Therefore, the best choice is D.

Question 15

A bag contains 13 red balls and 11 white balls. Two balls are drawn without replacement. What is the probability that the second ball is red R, given that the first ball is white W? ​

Accepted Answer

We need to use Bayes' theorem to solve this problem:
Pr(R | W) = (Pr(W | R) * Pr(R)) / Pr(W)
Pr(R) = 13/24 (probability of red ball)
Pr(W) = 11/24 (probability of white ball)
Pr(W | R) = 11/23 (probability of white ball given that the first ball was red)
Therefore, Pr(R | W) = (11/23 * 13/24) / (11/24) = 11/23

Question 16

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was male or black (non-Hispanic). ​

Accepted Answer

The answer of The following table gives the numbers of...

Question 17

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected makes at least $50,000? ​

​

Accepted Answer

The answer of The following table gives the percent of...

Question 18

A bag contains 4 red balls and 11 white balls. Two balls are drawn from the bag. What is the probability that the second ball is white W, given that the first ball is red and is replaced before the second is drawn? ​

Accepted Answer

Since the first ball is red and is replaced before the second is drawn, the probability of getting a white ball on the second draw is the same as the probability of getting a white ball on the first draw, which is 11/15. Therefore the answer is Pr(W) = 11ea984b_ad6c_827d_9029_9b0650198040_TB4005_11.

Question 19

A fair die is rolled. Find the probability that the result is a 4, given that the result is even. ​

Accepted Answer

Since we know that the result is even, the possible outcomes are 2, 4, and 6. Out of these outcomes, only one is a 4. Therefore, the probability of rolling a 4 given that the result is even is 1/3, which is option C.

Question 20

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person is male or makes less than $30,000? ​

Accepted Answer

The answer of The following table gives the percent of...

Quiz 7: Introduction to Probability

A card is drawn from an ordinary deck of 52 playing cards. Given that it is a jack(J) , queen(Q) or king(K) , what is the probability that a jack was drawn?

A bag contains 7 red balls numbered 1-7 and 15 white balls numbered 8-22. One ball is drawn from the bag. What is the probability that the ball is red R, given that the ball is even-numbered E?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female or Hispanic.

Of 100 students, 26 can speak French F, 33 can speak German G, and 16 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German?

A mathematics class consists of 9 engineering majors E, 14 science majors S, and 8 liberal arts majors LA. What is the probability that a student selected at random will be a science or liberal arts major?

A mathematics class consists of 14 engineering majors E, 8 science majors S, and 15 liberal arts majors LA. What is the probability that a student selected at random will be an engineering or science major?

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected is female and makes less than $30,000?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was Hispanic.

According to a recent medical study, 196 of 200 mammograms turn out to be normal. What is the probability that the mammogram of a woman chosen at random will show an abnormality?

A bag contains 11 red balls and 13 white balls. Two balls are drawn without replacement. What is the probability that the second ball is white W, given that the first ball is red R?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female.

The probability that a wife W watches a certain television show is 0.31, that her husband H watches it is 0.21, and that both watch the show is 0.05. What is the probability, to two decimal places, that either the husband or the wife watches this show?

A bag contains 13 red balls and 11 white balls. Two balls are drawn without replacement. What is the probability that the second ball is red R, given that the first ball is white W?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was male or black (non-Hispanic) .

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected makes at least $50,000?

A bag contains 4 red balls and 11 white balls. Two balls are drawn from the bag. What is the probability that the second ball is white W, given that the first ball is red and is replaced before the second is drawn?

A fair die is rolled. Find the probability that the result is a 4, given that the result is even.

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person is male or makes less than $30,000?

Quiz 7: Introduction to Probability

A card is drawn from an ordinary deck of 52 playing cards. Given that it is a jack(J) , queen(Q) or king(K) , what is the probability that a jack was drawn? ​

A bag contains 7 red balls numbered 1-7 and 15 white balls numbered 8-22. One ball is drawn from the bag. What is the probability that the ball is red R, given that the ball is even-numbered E? ​

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female or Hispanic. ​

Of 100 students, 26 can speak French F, 33 can speak German G, and 16 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German? ​

A mathematics class consists of 9 engineering majors E, 14 science majors S, and 8 liberal arts majors LA. What is the probability that a student selected at random will be a science or liberal arts major? ​

A mathematics class consists of 14 engineering majors E, 8 science majors S, and 15 liberal arts majors LA. What is the probability that a student selected at random will be an engineering or science major? ​

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected is female and makes less than $30,000? ​

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was Hispanic.

According to a recent medical study, 196 of 200 mammograms turn out to be normal. What is the probability that the mammogram of a woman chosen at random will show an abnormality? ​

A bag contains 11 red balls and 13 white balls. Two balls are drawn without replacement. What is the probability that the second ball is white W, given that the first ball is red R? ​

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female. ​ ​

The probability that a wife W watches a certain television show is 0.31, that her husband H watches it is 0.21, and that both watch the show is 0.05. What is the probability, to two decimal places, that either the husband or the wife watches this show? ​

A bag contains 13 red balls and 11 white balls. Two balls are drawn without replacement. What is the probability that the second ball is red R, given that the first ball is white W? ​

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was male or black (non-Hispanic) . ​

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected makes at least $50,000? ​ ​

A bag contains 4 red balls and 11 white balls. Two balls are drawn from the bag. What is the probability that the second ball is white W, given that the first ball is red and is replaced before the second is drawn? ​

A fair die is rolled. Find the probability that the result is a 4, given that the result is even. ​

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person is male or makes less than $30,000? ​

A card is drawn from an ordinary deck of 52 playing cards. Given that it is a jack(J) , queen(Q) or king(K) , what is the probability that a jack was drawn?

A bag contains 7 red balls numbered 1-7 and 15 white balls numbered 8-22. One ball is drawn from the bag. What is the probability that the ball is red R, given that the ball is even-numbered E?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female or Hispanic.

Of 100 students, 26 can speak French F, 33 can speak German G, and 16 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German?

A mathematics class consists of 9 engineering majors E, 14 science majors S, and 8 liberal arts majors LA. What is the probability that a student selected at random will be a science or liberal arts major?

A mathematics class consists of 14 engineering majors E, 8 science majors S, and 15 liberal arts majors LA. What is the probability that a student selected at random will be an engineering or science major?

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected is female and makes less than $30,000?

According to a recent medical study, 196 of 200 mammograms turn out to be normal. What is the probability that the mammogram of a woman chosen at random will show an abnormality?

A bag contains 11 red balls and 13 white balls. Two balls are drawn without replacement. What is the probability that the second ball is white W, given that the first ball is red R?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female.

The probability that a wife W watches a certain television show is 0.31, that her husband H watches it is 0.21, and that both watch the show is 0.05. What is the probability, to two decimal places, that either the husband or the wife watches this show?

A bag contains 13 red balls and 11 white balls. Two balls are drawn without replacement. What is the probability that the second ball is red R, given that the first ball is white W?

The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was male or black (non-Hispanic) .

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected makes at least $50,000?

A bag contains 4 red balls and 11 white balls. Two balls are drawn from the bag. What is the probability that the second ball is white W, given that the first ball is red and is replaced before the second is drawn?

A fair die is rolled. Find the probability that the result is a 4, given that the result is even.

The following table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random. What is the probability that the person is male or makes less than $30,000?