Practice Quiz - Section 7-1(Form A) - Sample Spaces, Events, and Probability

Multiple-choice exercise

Work out the problem on paper and then choose the letter for your answer. After you have successfully answered all questions, look at the top of the page to see how you did.

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Suppose that a sample space S consists of four simple events: A, B, C, and D. That is S = {A, B, C, D}. If P(A) = .4, P(B) = .1, P(C) = .2, what is P(D)?

.3

.7

.008

None of the answers given; click to see the solution.

A box contains four equally-sized tickets, numbered 1, 2, 3 and 4, and a second box contains three tickets also of the same size, numbered 3, 4, and 5. An experiment consists of selecting one ticket from the first box and then selecting one ticket from the second box. Write the sample space for this experiment. Note: This problem will be continued in questions 3 and 4.

None of the answers given; click to see the solution.

Using the same experiment and sample space as in question #2, what is the probability that tickets with the same numbers are chosen from each box?

1/6

2

1/3

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Using the same experiment and sample space as in question #2, what is the probability that the sum of the numbers on the tickets chosen is at least 7?

1/2

6

1/4

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An experiment consists of dealing 7 cards from a standard 52-card deck. What is the probability of being dealt 4 hearts and 3 spades?

.0015

204,990

.00000748

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An organization has 30 members, of whom 12 are females and 18 are males. If a President and Vice-President are chosen at random, what is the probability that both are females?

.15

132

2/5

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Suppose there are 8 people in a room. Each person writes his or her name on a piece of paper. The papers are collected, mixed together, and then one paper is returned to each person. What is the probability that each person gets the paper with his or her name back?

1/8! = .0000248

1/8

40320

None of the answers given; click to see the solution.