Question 1

An urn contains three red R balls numbered 1, 2 and 3, four white W balls numbered 4, 5, 6 and 7, and three black B balls numbered 8, 9 and 10 A ball is drawn from the urn. What is the probability that it is red and odd-numbered O? ​

Accepted Answer

E

Question 2

An ordinary die is tossed. What is the probability of getting a 6 or a 5? ​

Accepted Answer

C

Question 3

In a sales promotion, a clothing store gives its customers a chance to draw a ticket from a box that contains a discount on their next purchase. The box contains 9000 tickets giving a 10% discount, 900 giving a 30% discount, 450 giving a 50% discount, and 4 giving a 100% discount. What is the probability that a given customer will randomly draw a ticket giving a 50% discount? ​

Accepted Answer

E

Question 4

One ball is drawn at random from a bag containing 17 red R balls and 5 white W balls. What is the probability that the ball is green G? ​

Accepted Answer

The answer of One ball is drawn at random from...

Question 5

Fifty-seven percent of marijuana use among youth occurs in the inner cities. If an instance of such marijuana use is chosen at random, what is the probability, rounded to two decimal places, that the use occurs in an inner city? ​

Accepted Answer

The problem states that 57% of marijuana use among youth occurs in the inner cities, so the probability of an instance of such marijuana use occurring in an inner city is also 57%. Therefore, Pr(Inner city) = 0.57.

Question 6

An urn contains three red R balls numbered 1, 2 and 3, four white W balls numbered 4, 5, 6 and 7, and three black B balls numbered 8, 9 and 10. A ball is drawn from the urn. What is the probability that it is red? ​

Accepted Answer

The total number of balls is 10 (3 red + 4 white + 3 black). The probability of selecting a red ball is the number of red balls (3) divided by the total number of balls (10). Thus, the probability of selecting a red ball is:
P(R) = 3/10 = 11eb0d3b_9821_42a5_9790_4bd23b96c00e_TB1243_11

Question 7

An urn contains two red R balls numbered 1 and 2, five white W balls numbered 3, 4, 5, 6 and 7, and three black B balls numbered 8, 9 and 10. A ball is drawn from the urn. What is the probability that it is red or odd-numbered O? ​

Accepted Answer

The answer of An urn contains two red R balls...

Question 8

Suppose a die is tossed 1,000 times and a 1 comes up 667 times. Find the empirical probability for a 1 to occur. On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased? ​

Accepted Answer

The answer of Suppose a die is tossed 1,000 times...

Question 9

The following table gives the average number of voters in each of three political parties during the last 12 years, along with the average number that voted in presidential elections during this period. Use these data to find the probability, rounded to two decimal places, that a person selected at random from the registered Democratic voters will vote in the next election. ​  ​

Accepted Answer

To find the probability, we need to divide the average number of people who voted in presidential elections by the average number of registered voters in the Democratic party:
$$\frac{11,800,000}{26,800,000} \approx 0.44$$
Therefore, the probability that a person selected at random from the registered Democratic voters will vote in the next election is 0.44, rounded to two decimal places.

Question 10

One ball is drawn at random from a bag containing 17 red R balls and 2 white W balls. What is the probability that the ball is red? ​

Accepted Answer

The probability of drawing a red ball is the ratio of the number of red balls to the total number of balls in the bag. 
Therefore, 
Probability of drawing a red ball = Number of red balls / Total number of balls 
= 17 / (17+2) 
= 17/19 
= 0.8947368421052632 
≈ 0.895 
Therefore, the answer is B, which corresponds to 0.895.

Question 11

An urn contains five red balls numbered 1, 2, 3, 4 and 5, four white balls numbered 6, 7, 8 and 9, and three black balls numbered 10, 11 and 12. A ball is drawn from the urn. What is the probability that it is an odd-numbered ball O? ​

Accepted Answer

The answer of An urn contains five red balls numbered...

Question 12

An urn contains five red R balls numbered 1, 2, 3, 4 and 5, four white W balls numbered 6, 7, 8 and 9, and three black B balls numbered 10, 11 and 12. A ball is drawn from the urn. What is the probability that it is not black? ​

Accepted Answer

The answer of An urn contains five red R balls...

Question 13

Suppose a fair coin is tossed 6 times. What is the probability of flipping exactly 2 heads? ​

Accepted Answer

The answer of Suppose a fair coin is tossed 6...

Question 14

From a deck of 52 ordinary playing cards, one card is drawn. What is the probability that it is a spade(S)? ​

Accepted Answer

The answer of From a deck of 52 ordinary playing...

Question 15

A dry cleaning firm has 6 employees: 4 women and 2 men. 2 of the women and 1 of the men are 42 years old or older. The remainder are over 20 years of age and under 42. If a person is chosen at random from this firm, what is the probability that the person is under 42 years of age? ​

Accepted Answer

The answer of A dry cleaning firm has 6 employees:...

Question 16

If the odds that a particular horse will win a race are 15 : 9, what is the probability that the horse will win the race? ​

Accepted Answer

The answer of If the odds that a particular horse...

Question 17

If you draw one card at random from a deck of 10 cards numbered 1 through 10, inclusive, what is the probability that the number you draw is divisible by 9? ​

Accepted Answer

The answer of If you draw one card at random...

Question 18

If a pair of dice, one green and one red, is rolled, what is the probability that the sum of the two dice is a number between 5 and 9, inclusive? ​

Accepted Answer

The answer of If a pair of dice, one green...

Question 19

If the probability that an event will occur is  , what are the odds in favor of the event occurring? ​

Accepted Answer

The answer of If the probability that an event will...

Question 20

One ball is drawn at random from a bag containing 6 red R balls and 10 white W balls. What is the probability that the ball is red or white? ​

Accepted Answer

The answer of One ball is drawn at random from...

Quiz 8: Introduction to Probability

An urn contains three red R balls numbered 1, 2 and 3, four white W balls numbered 4, 5, 6 and 7, and three black B balls numbered 8, 9 and 10 A ball is drawn from the urn. What is the probability that it is red and odd-numbered O?

An ordinary die is tossed. What is the probability of getting a 6 or a 5?

One ball is drawn at random from a bag containing 17 red R balls and 5 white W balls. What is the probability that the ball is green G?

Fifty-seven percent of marijuana use among youth occurs in the inner cities. If an instance of such marijuana use is chosen at random, what is the probability, rounded to two decimal places, that the use occurs in an inner city?

An urn contains three red R balls numbered 1, 2 and 3, four white W balls numbered 4, 5, 6 and 7, and three black B balls numbered 8, 9 and 10. A ball is drawn from the urn. What is the probability that it is red?

An urn contains two red R balls numbered 1 and 2, five white W balls numbered 3, 4, 5, 6 and 7, and three black B balls numbered 8, 9 and 10. A ball is drawn from the urn. What is the probability that it is red or odd-numbered O?

Suppose a die is tossed 1,000 times and a 1 comes up 667 times. Find the empirical probability for a 1 to occur. On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased?

One ball is drawn at random from a bag containing 17 red R balls and 2 white W balls. What is the probability that the ball is red?

An urn contains five red balls numbered 1, 2, 3, 4 and 5, four white balls numbered 6, 7, 8 and 9, and three black balls numbered 10, 11 and 12. A ball is drawn from the urn. What is the probability that it is an odd-numbered ball O?

An urn contains five red R balls numbered 1, 2, 3, 4 and 5, four white W balls numbered 6, 7, 8 and 9, and three black B balls numbered 10, 11 and 12. A ball is drawn from the urn. What is the probability that it is not black?

Suppose a fair coin is tossed 6 times. What is the probability of flipping exactly 2 heads?

From a deck of 52 ordinary playing cards, one card is drawn. What is the probability that it is a spade(S) ?

A dry cleaning firm has 6 employees: 4 women and 2 men. 2 of the women and 1 of the men are 42 years old or older. The remainder are over 20 years of age and under 42. If a person is chosen at random from this firm, what is the probability that the person is under 42 years of age?

If the odds that a particular horse will win a race are 15 : 9, what is the probability that the horse will win the race?

If you draw one card at random from a deck of 10 cards numbered 1 through 10, inclusive, what is the probability that the number you draw is divisible by 9?

If a pair of dice, one green and one red, is rolled, what is the probability that the sum of the two dice is a number between 5 and 9, inclusive?

If the probability that an event will occur is , what are the odds in favor of the event occurring?

One ball is drawn at random from a bag containing 6 red R balls and 10 white W balls. What is the probability that the ball is red or white?