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Chapter 13: Counting and Probability

Q. 1.

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Write down all the subsets of the set { Dave, Joanne, Erica }.

Q. 11.

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Compute the given expression.

C8,3

Q. 15

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Powerball is a multistate lottery in which 5 white balls from a drum with 53 balls and 1 red ball from a drum with 42 red balls are selected. For a \(1 ticket, players get one chance at winning the jackpot by matching all 6 numbers. What is the probability of selecting the winning numbers on a \)1 play?

Q. 21

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In Problems 17–22, use the following spinners to construct a probability model for each experiment.

Spin spinner I twice, then spinner II. What is the probability of getting a 2, followed by a 2 or a 4, followed by Red or Green?

Q 22.

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How many are in A or B or C?

Q. 27

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List all the combinations of 5 objects a,b,c,d, and etaken 3 at a time. What isC(5,3)?

Q 29.

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Analyzing Survey Data In a survey of 100 investors in the

stock market,

50 owned shares in IBM

40 owned shares in AT&T

45 owned shares in GE

20 owned shares in both IBM and GE

15 owned shares in both AT&T and GE

20 owned shares in both IBM and AT&T

5 owned shares in all three

(a) How many of the investors surveyed did not have shares

in any of the three companies?

(b) How many owned just IBM shares?

(c) How many owned just GE shares?

(d) How many owned neither IBM nor GE?

(e) How many owned either IBM or AT&T but no GE?

Q. 30

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List all the combinations of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is C(6,3)?

Q. 31

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Forming Codes How many two-letter codes can be formed using the letter A, B, C, and D? Repeated letters are allowed.

Q. 35

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Lining People Up In how many ways can 4 people be lined up?

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