Question 1

Two fair dice are rolled. What is the probability of 
(a) an even number or a three on the first die?
(b)an even number on the first die and a three on the second?

Accepted Answer

(a)
   
(b) (1/2)(1/6) = .083.

Question 2

The probability of obtaining a score of 1 correct on a 4-item true-false test by random guessing is

Accepted Answer

A)  2/16 
B)  3/16 
C)  4/16 
D)  6/16 
A)  2/16 
B)  3/16 
C)  4/16 
D)  6/16 C

Question 3

A six-sided die is rolled twice. What is the probability that the first roll will come up 2 and the second 1?

Accepted Answer

A)  1/6 
B)  2/6 
C)  1/36 
D)  2/36 
A)  1/6 
B)  2/6 
C)  1/36 
D)  2/36 C

Question 4

The probability of obtaining a perfect score on a 3-item multiple choice test (4 alternatives per item) by random guessing is

Accepted Answer

A)  .7500 
B)  .0156 
C)  .0003 
D)  .1250 
A)  .7500 
B)  .0156 
C)  .0003 
D)  .1250

Question 5

A six-sided die is rolled twice. What is the probability that the first roll will come up 1 and the second 2?

Accepted Answer

A)  1/6 
B)  2/6 
C)  1/36 
D)  2/36 
A)  1/6 
B)  2/6 
C)  1/36 
D)  2/36

Question 6

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing an ace or a king is

Accepted Answer

A)  1/52 
B)  2/6 
C)  4/52 
D)  8/52 
A)  1/52 
B)  2/6 
C)  4/52 
D)  8/52

Question 7

A slot machine has three wheels that rotate independently. When the lever is pulled, the wheels rotate and then come to a stop, one by one, in random positions. The circumference of each wheel is divided into 25 equal parts and contains four pictures each of six different fruits and one picture of a jackpot label. What is the probability that the following will appear under the window on the middle wheel:
(a)a jackpot label?
(b)an orange?
(c)a fruit?

Accepted Answer

(a).04
(b)

Question 8

The probability of obtaining a score of 1 correct on a 2-item multiple choice test (4 alternatives per item) by random guessing is

Accepted Answer

A)  2/16 
B)  3/16 
C)  4/16 
D)  6/16 
A)  2/16 
B)  3/16 
C)  4/16 
D)  6/16

Question 9

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing the king of hearts is

Accepted Answer

A)  1/52 
B)  4/52 
C)  13/52 
D)  1/13 
A)  1/52 
B)  4/52 
C)  13/52 
D)  1/13

Question 10

The probability of a run of four straight heads on four consecutive flips of a fair coin is

Accepted Answer

A)  .0625 
B)  .1250 
C)  .0002 
D)  .0375 
A)  .0625 
B)  .1250 
C)  .0002 
D)  .0375

Question 11

A class is administered a test consisting of five four-alternative multiple-choice items.?
(a)List the ways in which one could obtain a score of four correct on this test.
(b)What is the probability of obtaining a score of exactly four correct by guessing randomly on each item?
(c)What is the probability by guessing randomly of obtaining a perfect score on the test?
(d)What is the probability of obtaining a score of four correct or better on the test by guessing randomly?
(e)What is the probability of missing all five items through random guessing?

Accepted Answer

(a)?RRRRW, RRRWR, RR

Question 12

The number of ways one can obtain 2 heads out of 3 flips of a coin is

Accepted Answer

A)  3 
B)  4 
C)  1 
D)  2 
A)  3 
B)  4 
C)  1 
D)  2

Question 13

A pile of jelly beans consists of 6 dark green, 4 light green, 6 blue, and 4 red. If one jelly bean is selected at random, the probability of its being green is

Accepted Answer

A)  .10 
B)  .2 
C)  .06 
D)  .50 
A)  .10 
B)  .2 
C)  .06 
D)  .50

Question 14

The probabilities of occurrence of independent events D, E, and F are .3, .1, and .2, respectively. The probability of all three occurring is

Accepted Answer

A)  .6 
B)  .06 
C)  .006 
D)  can't be determined from what is given 
A)  .6 
B)  .06 
C)  .006 
D)  can't be determined from what is given

Question 15

For a fair coin, fairly tossed, we say that the probability of it coming up heads is .50. This is an example of

Accepted Answer

A)  empirical probability 
B)  theoretical probability 
C)  the addition theorem 
D)  the multiplication theorem 
A)  empirical probability 
B)  theoretical probability 
C)  the addition theorem 
D)  the multiplication theorem

Question 16

Which of the following pairs of events illustrate statistical independence?

Accepted Answer

A)  being a woman and being in the military service 
B)  obtaining a 3 and an even number on a single roll of a six-sided die 
C)  obtaining a 2 and an even number on a single roll of a die 
D)  obtaining a 2 and an even number on two consecutive rolls of a die 
A)  being a woman and being in the military service 
B)  obtaining a 3 and an even number on a single roll of a six-sided die 
C)  obtaining a 2 and an even number on a single roll of a die 
D)  obtaining a 2 and an even number on two consecutive rolls of a die

Question 17

Two events are independent if

Accepted Answer

A)  one is the complement of the other 
B)  they are mutually exclusive 
C)  the outcome of one is unaffected by the occurrence (or not) of the other 
D)  one must occur if the other does not 
A)  one is the complement of the other 
B)  they are mutually exclusive 
C)  the outcome of one is unaffected by the occurrence (or not) of the other 
D)  one must occur if the other does not

Question 18

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing a king is

Accepted Answer

A)  1/52 
B)  4/52 
C)  13/52 
D)  1/2 
A)  1/52 
B)  4/52 
C)  13/52 
D)  1/2

Question 19

The probability of occurrence of any one of several events is the sum of their individual probabilities when

Accepted Answer

A)  the events are independent 
B)  the events are mutually exclusive 
C)  sampling is random 
D)  that sum is not less than zero nor greater than one 
A)  the events are independent 
B)  the events are mutually exclusive 
C)  sampling is random 
D)  that sum is not less than zero nor greater than one

Question 20

Suppose we make three consecutive random selections from this group of 200 students. After each selection, we record the grade and sex of the individual selected and replace him or her back in the group before making our next selection. First, determine the following three probabilities for a single selection: the probability of a male "B" student, a male "A" student, a female student. Now, apply the appropriate rule(s) to these probabilities to determine the probability that 
(a) the first selection is male with a grade of at least B;
(b)the second selection is a male with a grade of B or a female;
(c)the first selection is a male with a grade of B and the second selection is a female;
(d)all three selections are males with a grade of B or better.

Accepted Answer

Pr(male "B" student) = .15, Pr

Two fair dice are rolled. What is the probability of (a) an even number or a three on the first die? (b)an even number on the first die and a three on the second?

The probability of obtaining a score of 1 correct on a 4-item true-false test by random guessing is

A six-sided die is rolled twice. What is the probability that the first roll will come up 2 and the second 1?

The probability of obtaining a perfect score on a 3-item multiple choice test (4 alternatives per item) by random guessing is

A six-sided die is rolled twice. What is the probability that the first roll will come up 1 and the second 2?

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing an ace or a king is

The probability of obtaining a score of 1 correct on a 2-item multiple choice test (4 alternatives per item) by random guessing is

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing the king of hearts is

The probability of a run of four straight heads on four consecutive flips of a fair coin is

The number of ways one can obtain 2 heads out of 3 flips of a coin is

A pile of jelly beans consists of 6 dark green, 4 light green, 6 blue, and 4 red. If one jelly bean is selected at random, the probability of its being green is

The probabilities of occurrence of independent events D, E, and F are .3, .1, and .2, respectively. The probability of all three occurring is

For a fair coin, fairly tossed, we say that the probability of it coming up heads is .50. This is an example of

Which of the following pairs of events illustrate statistical independence?

Two events are independent if

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing a king is

The probability of occurrence of any one of several events is the sum of their individual probabilities when

Introduction

Frequency Distributions, Percentiles,

Graphic Representation of Frequency Distributions

Central Tendency

Variability and Standard Z Scores

Standard Scores and the Normal Curve

Correlation

Prediction

Interpretive Aspects of Correlation and Regression

Random Sampling and Sampling Distributions

Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power

Testing Hypotheses About the Difference Between Two Independent Groups

Testing for a Difference

Inference About Correlation Coefficients

An Alternative to Hypothesis Testing: Confidence Intervals

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

Factorial Analysis of Variance

Chi-Square and Inference About Frequencies

Some Almost Assumption-Free Tests

Filters

Exam 10: Probability

Two fair dice are rolled. What is the probability of (a) an even number or a three on the first die? (b)an even number on the first die and a three on the second?

The probability of obtaining a score of 1 correct on a 4-item true-false test by random guessing is

A six-sided die is rolled twice. What is the probability that the first roll will come up 2 and the second 1?

The probability of obtaining a perfect score on a 3-item multiple choice test (4 alternatives per item) by random guessing is

A six-sided die is rolled twice. What is the probability that the first roll will come up 1 and the second 2?

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing an ace or a king is

The probability of obtaining a score of 1 correct on a 2-item multiple choice test (4 alternatives per item) by random guessing is

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing the king of hearts is

The probability of a run of four straight heads on four consecutive flips of a fair coin is

The number of ways one can obtain 2 heads out of 3 flips of a coin is

A pile of jelly beans consists of 6 dark green, 4 light green, 6 blue, and 4 red. If one jelly bean is selected at random, the probability of its being green is

The probabilities of occurrence of independent events D, E, and F are .3, .1, and .2, respectively. The probability of all three occurring is

For a fair coin, fairly tossed, we say that the probability of it coming up heads is .50. This is an example of

Which of the following pairs of events illustrate statistical independence?

Two events are independent if

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of drawing a king is

The probability of occurrence of any one of several events is the sum of their individual probabilities when

Introduction

Frequency Distributions, Percentiles,

Graphic Representation of Frequency Distributions

Central Tendency

Variability and Standard Z Scores

Standard Scores and the Normal Curve

Correlation

Prediction

Interpretive Aspects of Correlation and Regression

Random Sampling and Sampling Distributions

Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power

Testing Hypotheses About the Difference Between Two Independent Groups

Testing for a Difference

Inference About Correlation Coefficients

An Alternative to Hypothesis Testing: Confidence Intervals

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

Factorial Analysis of Variance

Chi-Square and Inference About Frequencies

Some Almost Assumption-Free Tests

Filters