Theoretical and Experimental Probability

Question 1

Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, which choice represents the sample space, S, for the event?

Revolt · Accepted Answer

C: S = {AB, AC, BC}

Question 2

What subset, A, of the sample space represents the complement of the event in which Camille is the final swimmer?

Revolt · Accepted Answer

B: A = {ABC, BAC}

Question 3

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?

Revolt · Accepted Answer

D: not choosing all mysteries

Question 4

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. Which of these statements are true? Check all that apply.There are 20C3 possible ways to choose three books to read.There are 5C3 possible ways to choose three mysteries to read.There are 15C3 possible ways to choose three books that are not all mysteries.The probability that Mariah will choose 3 mysteries can be expressed as .The probability that Mariah will not choose all mysteries can be expressed as 1 − .

Revolt · Accepted Answer

A: There are 20C3 possible ways to choose three books to read.; B: There are 5C3 possible ways to choose three mysteries to read.; E: The probability that Mariah will not choose all mysteries can be expressed as 1 − .

Question 5

A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A tree is chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probability that the tree is not within the acres of apple trees?

Revolt · Accepted Answer

B: 37.5%

Question 6

Question 6

Revolt · Accepted Answer

31

Question 7

⇒ 78.5

Revolt · Accepted Answer

25.6

Question 8

10 3,024✔ 5,040 10,000

Revolt · Accepted Answer

C: ✔  5,040

Question 9

336✔ 504 720 3,024

Revolt · Accepted Answer

B: ✔ 504

Question 10

✔ 0.1 0.11 0.25 0.4

Revolt · Accepted Answer

A: ✔ 0.1

Theoretical and Experimental Probability Answers

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