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Consider the experiment of selecting a playing card from a deck of 52 playing ca

ID: 3060847 • Letter: C

Question

Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability.

A.) How many sample point are there in the event that an ace is selected? _____

B.) How many sample point are there in the event that a club is selected?_____

C.) How many sample points are there in the event that a face card (jack, queen, or king) is selected? _____

D.) Find the probabilities associated with each of the events in parts (a), (b), (c) ( to 2 decimals).

(a) Ace _____

(b) Club _____

(c) Face Card _____

Explanation / Answer

No. of cards in a deck = 52

A. No. of sample points in the event that an ace is selected = 4

B. No. of sample points in the event that a club is selected = 13

C. No. of sample points in the event that a face card (jack, queen, or king) is selected = 4+ 4+ 4 = 12

D.

a. P(ace) = 4/52 = 0.08

b. P(club)= 13/52 = 0.25

c. P(Face card) = 12/52 = 0.23

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