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of selecting a playing card from a deck of 52 playing cards. Each card correspon

ID: 3365078 • Letter: O

Question

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 points are there in the event that a king is selected b. How sample points are there in the event that a spade 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), and (c) (to 2 decimals). (a) King (b) Spades ) (c) Face card

Explanation / Answer

a) Sample points in the event that king is selected = 4

b) Sample points in the event that spade is selected = 13

c) Sample points in the event that face card is selected = 12

d) P(King) = 4/52 = 1/13 = 0.08

P(Spade) = 13/52 = 1/4 = 0.25

P(Face Card) = 12/52 = 3/13 = 0.23