# 10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins...

###### Question: 10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. a. (4) List the simple events in the sample space if order does not matter. You may use a code such as N= nickel 1, n= nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. b. (2) Show how to use a permutation or a combination formula to determine the number of options that could occur in the sample space if order does not matter. C. (2) Show how to use a permutation or a combination formula to determine the number of options that could occur in the sample space if order does matter. d. (1) What is the probability that a selection of three coins includes a half-dollar coin? e. (1) What is the probability that the selection of three coins does not include a half-dollar coin? f. (2) What is the probability that the selection of three coins is worth less than $1? g. (2) What is the probability that the selection of three coins is equal to$1? h. (2) What is the probability that the selection of three coins is greater than $1? i. (4) Draw or create a cumulative frequency table for the ways in which the sum of the coins can be shown. Hint: You want to show$0.35, $0.55,$0.60, $0.75,$1, etc. for the x column. You may add or delete rows to the table below. X frequency P(x) Cumulative P(X<x) Cumulative frequency $0.55$0.60 $0.75$1

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