Question 1

Event 1B
Given the following event:
Suppose an irregular 7-sided solid object, having sides numbered 1 through 7, is rolled 100 times, and side 4 turns up 12 times.
-In regard to Event 1B, what are the odds?

Accepted Answer

A)   1 to 4.
B)   7 to 100.
C)   7 to 125.
D)   3 to 25.
E)   3 to 22.

Question 2

Event 2A
Given the following event:
Given an urn containing 2 black, 3 yellow, and 5 orange balls. Two balls are drawn and the first ball is not replaced before the second is drawn.
-Given Event 2A, what is the probability that the two balls are the same color?

Accepted Answer

A)   7/25
B)   19/45
C)   14/45
D)   8/25
E)   1/4

Question 3

If the odds of the Steelers beating the Chiefs are 7 to 4, what is the probability of this event happening?

Accepted Answer

A)   4/7
B)   1/11
C)   7/11
D)   4/11
E)   7/4 C

Question 4

Event 3B
Given the following event:
Given two urns, one containing 1 yellow, 3 red, and 5 blue balls, and the other containing 4 yellow, 2 red, and 3 blue balls. A single ball is drawn from each.
-Given Event 3B, what is the probability that one is red, the other is blue?

Accepted Answer

A)   2/3
B)   3/27
C)   77/81
D)   19/81
E)   1/3

Question 5

Given an urn containing 3 red balls, 4 green balls, and 5 yellow balls. What is the probability of drawing either a red ball or a green ball on a single draw?

Accepted Answer

A)   7/12
B)   1/2
C)   2/5
D)   2/3
E)   3/7

Question 6

Event 3A
Given the following event:
Given two urns, one containing 2 green, 3 yellow, and 5 pink balls, and the other containing 4 green, 2 yellow, and 4 pink balls. A single ball is drawn from each.
-Given Event 3A, what is the probability that at least one is either green or yellow?

Accepted Answer

A)   4/5
B)   4/25
C)   1/5
D)   21/25
E)   67/100

Question 7

Event 2C
Given the following event:
Given two urns, one containing 3 white, 4 blue, and 5 pink balls, and the other containing 2 white, 3 blue, and 7 pink balls. A single ball is drawn from each.
-Given Event 2C, what is the probability that at least one ball is blue?

Accepted Answer

A)   5/12
B)   7/12
C)   1/2
D)   11/24
E)   3/8

Question 8

What is the probability of drawing a red king from a poker deck (no jokers)  on a single draw?

Accepted Answer

A)   1/4
B)   1/26
C)   1/52
D)   1/13
E)   2/13

Question 9

What is the probability of getting at least 1 head on 4 successive tosses of a coin?

Accepted Answer

A)   31/32
B)   7/8
C)   3/4
D)   13/16
E)   15/16 E

Question 10

To compute the probability that a mass produced rocket engine would fail prematurely, the theory of probability that would likely be used is the:

Accepted Answer

A)   Classical (a priori)  theory.
B)   Relative frequency theory.
C)   Subjectivist theory.
D)   Conditional theory.
E)   Relativist theory.

Question 11

If the odds of the Yankees beating the Red Sox are 5 to 3, what is the probability of this event happening?

Accepted Answer

A)   1/8
B)   5/8
C)   3/5
D)   3/8
E)   5/3

Question 12

On one roll of a pair of dice, what is the probability of the points adding up to 4?

Accepted Answer

A)   1/12
B)   1/6
C)   1/11
D)   1/9
E)   1/8 A

Question 13

Event 2B
Given the following event:
Given an urn containing 2 green, 3 white, and 4 red balls. Two balls are drawn and the first ball is not replaced before the second is drawn.
-Given Event 2B, what is the probability that the two balls are the same color?

Accepted Answer

A)   1/3
B)   2/9
C)   5/18
D)   1/6
E)   5/9

Question 14

Event 1C
Given the following event:
Suppose an irregular 5-sided solid object, having sides numbered 1 through 5, is rolled 100 times, and side 3 turns up 16 times.
-In regard to Event 1C, what are the odds?

Accepted Answer

A)   5 to 21.
B)   5 to 16.
C)   4 to 25.
D)   4 to 21.
E)   3 to 16.

Question 15

To compute the probability of drawing a jack and a queen from a poker deck (without replacing the first card before drawing the second)  the theory of probability that would likely be used is the:

Accepted Answer

A)   Relative frequency theory.
B)   Subjectivist theory.
C)   Conditional theory.
D)   Classical (a priori)  theory.
E)   Relativist theory.

Question 16

To compute the probability of having a loaded die turn up six, the theory of probability that would normally be used is the:

Accepted Answer

A)   Relative frequency theory.
B)   Classical (a priori)  theory.
C)   Subjectivist theory.
D)   Conditional theory.
E)   Relativist theory.

Question 17

Data Set 2A
Suppose that the ages of 8 kittens in a pet shop are as follows:
1, 2, 2, 3, 3, 4, 4, 5
-According to the principle of indifference,

Accepted Answer

A)   All possible outcomes of an event are equally probable.
B)   It makes no difference who conducts the experiment.
C)   Some possible outcomes are so unlikely that they are ignored.
D)   All possible outcomes are invariant as to time and place.
E)   The probability of an event is the same regardless of what theory is used to calculate it.

Question 18

What is the probability of drawing either an ace or a king from a poker deck (no jokers)  on a single draw?

Accepted Answer

A)   1/52
B)   1/26
C)   1/13
D)   2/13
E)   1/4

Question 19

To compute the probability of the LA Lakers defeating the Boston Celtics in their upcoming game, the theory of probability that would typically be used is the:

Accepted Answer

A)   Relative frequency theory.
B)   Conditional theory.
C)   Classical (a priori)  theory.
D)   Relativist theory.
E)   Subjectivist theory.

Question 20

Event 1A
Given the following event:
Suppose an irregular 4-sided solid object, having sides numbered 1 through 4, is rolled 100 times, and side 3 turns up 28 times.
-What is the approximate probability of Event 1A happening?

Accepted Answer

A)   3/28
B)   7/25
C)   7/32
D)   1/7
E)   3/7

Exam 11: Probability

Event 1B Given the following event: Suppose an irregular 7-sided solid object, having sides numbered 1 through 7, is rolled 100 times, and side 4 turns up 12 times. -In regard to Event 1B, what are the odds?

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Event 2A Given the following event: Given an urn containing 2 black, 3 yellow, and 5 orange balls. Two balls are drawn and the first ball is not replaced before the second is drawn. -Given Event 2A, what is the probability that the two balls are the same color?

Correct AnswerverifiedShow Answer

If the odds of the Steelers beating the Chiefs are 7 to 4, what is the probability of this event happening?

Correct AnswerverifiedC

Event 3B Given the following event: Given two urns, one containing 1 yellow, 3 red, and 5 blue balls, and the other containing 4 yellow, 2 red, and 3 blue balls. A single ball is drawn from each. -Given Event 3B, what is the probability that one is red, the other is blue?

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Given an urn containing 3 red balls, 4 green balls, and 5 yellow balls. What is the probability of drawing either a red ball or a green ball on a single draw?

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Event 3A Given the following event: Given two urns, one containing 2 green, 3 yellow, and 5 pink balls, and the other containing 4 green, 2 yellow, and 4 pink balls. A single ball is drawn from each. -Given Event 3A, what is the probability that at least one is either green or yellow?

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Event 2C Given the following event: Given two urns, one containing 3 white, 4 blue, and 5 pink balls, and the other containing 2 white, 3 blue, and 7 pink balls. A single ball is drawn from each. -Given Event 2C, what is the probability that at least one ball is blue?

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What is the probability of drawing a red king from a poker deck (no jokers) on a single draw?

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What is the probability of getting at least 1 head on 4 successive tosses of a coin?

Correct AnswerverifiedE

To compute the probability that a mass produced rocket engine would fail prematurely, the theory of probability that would likely be used is the:

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If the odds of the Yankees beating the Red Sox are 5 to 3, what is the probability of this event happening?

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On one roll of a pair of dice, what is the probability of the points adding up to 4?

Correct AnswerverifiedA

Event 2B Given the following event: Given an urn containing 2 green, 3 white, and 4 red balls. Two balls are drawn and the first ball is not replaced before the second is drawn. -Given Event 2B, what is the probability that the two balls are the same color?

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Event 1C Given the following event: Suppose an irregular 5-sided solid object, having sides numbered 1 through 5, is rolled 100 times, and side 3 turns up 16 times. -In regard to Event 1C, what are the odds?

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To compute the probability of drawing a jack and a queen from a poker deck (without replacing the first card before drawing the second) the theory of probability that would likely be used is the:

Correct AnswerverifiedShow Answer

To compute the probability of having a loaded die turn up six, the theory of probability that would normally be used is the:

Correct AnswerverifiedShow Answer

Data Set 2A Suppose that the ages of 8 kittens in a pet shop are as follows: 1, 2, 2, 3, 3, 4, 4, 5 -According to the principle of indifference,

Correct AnswerverifiedShow Answer

What is the probability of drawing either an ace or a king from a poker deck (no jokers) on a single draw?

Correct AnswerverifiedShow Answer

To compute the probability of the LA Lakers defeating the Boston Celtics in their upcoming game, the theory of probability that would typically be used is the:

Correct AnswerverifiedShow Answer

Event 1A Given the following event: Suppose an irregular 4-sided solid object, having sides numbered 1 through 4, is rolled 100 times, and side 3 turns up 28 times. -What is the approximate probability of Event 1A happening?

Correct AnswerverifiedShow Answer

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