Question 1

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 600 or higher on the test? 
A).84
B).50
C).16
D).34

Accepted Answer

A score of 600 is one standard deviation above the mean (500 + 100). In a normal distribution, approximately 16% of the data lies above one standard deviation from the mean.

Question 2

What is the probability of drawing either a king or a queen from a standard (52-card)deck of playing cards?
A).15
B).31
C).50
D).62

Accepted Answer

A

Question 3

What is the probability of rolling a 3 in a single roll of a die?
A).50
B)1.0
C).25
D).17

Accepted Answer

A standard die has 6 faces, each with an equal probability of landing face up. The probability of rolling any specific number, including a 3, is 1/6, which is approximately 0.17.

Question 4

What is the probability of pulling a jack from a standard (52-card)deck of playing cards?
A).019
B).077
C).15
D).25

Accepted Answer

There are 4 jacks in a standard deck of 52 cards, so the probability of pulling a jack is 4/52, which simplifies to 1/13 or approximately 0.077.

Question 5

What it the probability of two heads in two flips of a coin?
A).25
B).50
C).75
D)1.0

Accepted Answer

The probability of getting a head on a single flip of a coin is 1/2. The probability of getting two heads in two flips is (1/2) * (1/2) = 1/4 = 0.25.

Question 6

What is the probability of a couple having two children in the following order: girl,boy?
A).0625
B).125
C).25
D).50

Accepted Answer

The probability of having a girl is 0.5 and the probability of having a boy is 0.5. The probability of having a girl first and then a boy is 0.5 * 0.5 = 0.25.

Question 7

What is the probability of three tails in three flips of a coin?
A).25
B).75
C).125
D).50

Accepted Answer

The probability of getting a tail on one flip of a fair coin is 1/2. The probability of getting three tails in a row is (1/2) x (1/2) x (1/2) = 1/8 = 0.125, so the answer is C.

Question 8

What is the probability of pulling a heart from a standard (52-card)deck of playing cards?
A).25
B).50
C).75
D)1.0

Accepted Answer

There are 13 hearts in a standard 52-card deck, so the probability of drawing a heart is 13/52, which simplifies to 1/4 or 0.25.

Question 9

What is the probability of a couple having three children in the following order: girl,girl,girl?
A).0625
B).125
C).25
D).50

Accepted Answer

The probability of having a girl for the first child is 1/2. The probability of having a girl for the second child is also 1/2. The probability of having a girl for the third child is also 1/2. Using the multiplication rule for independent events, we multiply the individual probabilities, which gives us (1/2) x (1/2) x (1/2) = 1/8 or 0.125. Therefore, the best choice is B.

Question 10

What is the probability of rolling an even number in a single roll of a die?
A).25
B).17
C).50
D).36

Accepted Answer

There are 6 possible outcomes when rolling a die (1, 2, 3, 4, 5, or 6). Half of these outcomes are even (2, 4, 6), so the probability of rolling an even number is 3/6 or 1/2 (which is equivalent to 0.5 or 50%). Therefore, the correct answer is choice letter C.

Question 11

What is the probability of drawing either a club or a spade from a standard (52-card)deck of playing cards?
A).25
B).50
C).75
D)1.0

Accepted Answer

There are 13 cards of each suit, which means there are a total of 26 club and spade cards combined in the deck. Thus, the probability of drawing either a club or a spade would be 26/52, or 1/2, which simplifies to 0.5 or 50%. Therefore, the best choice is option B.

Question 12

What is the probability of getting a 'head' on a single toss of a coin?
A)1.0
B)2.0
C).50
D).25

Accepted Answer

The probability of getting a 'head' or 'tail' on a single toss of a coin is 1/2 or 0.50, since there are only two possible outcomes and they are equally likely to occur. Therefore, option C is the correct answer.

Question 13

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 400 or lower on the test? 
A).84
B).50
C).16
D).34

Accepted Answer

To solve this problem, we need to use the standard normal distribution. First, we need to convert the raw score of 400 to a z-score:

z = (400 - 500) / 100 = -1

We then look up the probability of getting a z-score of -1 or lower in a standard normal distribution table, which is approximately 0.16 or 16%.

Therefore, the answer is (C) 16.

Question 14

What is the probability of a couple having four children in the following order: girl,girl,girl,boy?
A).0625
B).125
C).25
D).50

Accepted Answer

The probability of having a girl on the first child is 0.5, the second child is also 0.5, the third child is also 0.5, and the fourth child is 0.5. Therefore, the probability of having four children in the order girl, girl, girl, boy is 0.5 x 0.5 x 0.5 x 0.5 = 0.0625 or 6.25%.

Question 15

What is the probability of a couple having either a girl or a boy when giving birth?
A).25
B).50
C).75
D)1.0

Accepted Answer

The probability of having either a girl or a boy is 1.0, as these are the only two possible outcomes in a typical birth scenario.

Question 16

Imagine that you have a bag filled with 10 pink marbles and 5 black marbles.What is the probability of pulling a pink marble from the bag?
A).25
B).33
C).50
D).67

Accepted Answer

The probability of pulling a pink marble is the number of pink marbles divided by the total number of marbles: 10 pink marbles / (10 pink + 5 black) = 10/15 = 0.67.

Question 17

Imagine that you have a bag filled with 10 pink marbles and 5 black marbles.What is the probability of pulling a black marble from the bag?
A).25
B).33
C).50
D).67

Accepted Answer

The probability of pulling a black marble can be calculated by dividing the number of black marbles by the total number of marbles in the bag:
P(black marble) = number of black marbles / total number of marbles
P(black marble) = 5 / 15
P(black marble) = .33 or 33%

Question 18

Probability is
A)the study of likelihood and uncertainty.
B)the number of ways a particular outcome can occur divided by the total number of outcomes.
C)the process of determining whether a hypothesis is supported by the results of a research study.
D)both the study of likelihood and uncertainty and the number of ways a particular outcome can occur divided by the total number of outcomes.

Accepted Answer

Probability encompasses both the study of likelihood and uncertainty, as well as the calculation of the number of ways a particular outcome can occur divided by the total number of outcomes. It is not necessarily related to hypothesis testing, which is a separate statistical concept.

Question 19

What is the probability of rolling a two-digit number in a single roll of a die?
A)0
B)1.0
C).50
D).25

Accepted Answer

A die has only 6 faces numbered from 1 to 6. Hence, it is impossible to roll a two-digit number in a single roll of a die.

Question 20

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 400 or higher on the test?
A).84
B).50
C).16
D).34

Accepted Answer

The score of 400 is one standard deviation below the mean (500 - 100 = 400). Approximately 84% of the data in a normal distribution lies above one standard deviation below the mean.

Quiz 7: Probability and Hypothesis Testing

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 600 or higher on the test?

What is the probability of drawing either a king or a queen from a standard (52-card) deck of playing cards?

What is the probability of rolling a 3 in a single roll of a die?

What is the probability of pulling a jack from a standard (52-card) deck of playing cards?

What it the probability of two heads in two flips of a coin?

What is the probability of a couple having two children in the following order: girl,boy?

What is the probability of three tails in three flips of a coin?

What is the probability of pulling a heart from a standard (52-card) deck of playing cards?

What is the probability of a couple having three children in the following order: girl,girl,girl?

What is the probability of rolling an even number in a single roll of a die?

What is the probability of drawing either a club or a spade from a standard (52-card) deck of playing cards?

What is the probability of getting a 'head' on a single toss of a coin?

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 400 or lower on the test?

What is the probability of a couple having four children in the following order: girl,girl,girl,boy?

What is the probability of a couple having either a girl or a boy when giving birth?

Imagine that you have a bag filled with 10 pink marbles and 5 black marbles.What is the probability of pulling a pink marble from the bag?

Imagine that you have a bag filled with 10 pink marbles and 5 black marbles.What is the probability of pulling a black marble from the bag?

Probability is

What is the probability of rolling a two-digit number in a single roll of a die?

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 400 or higher on the test?