SOLUTION: Picking one card from a standard deck... a) What is the probability that you pick a red 2, a black 3, or a four? b) What is the probability you pick a face card or a black ten,

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Question 1178733: Picking one card from a standard deck...
a) What is the probability that you pick a red 2, a black 3, or a four?
b) What is the probability you pick a face card or a black ten, GIVEN that you have
chosen a diamond

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Picking one card from a standard deck:
P(red 2) = 2/52 = 1/26
P(black 3) = 2/52 = 1/26
P(4) = 4/52 = 1/13
 P((FC 0r black ten) and Diamond) = 3/52 
P(A|Diamond) =   = 3/13 (3 Diamond face cards)
P(K5 or D) = 4/52 + 13/52 - 1/52 = 16/52
Draw 2 cards:
P(CQ and SQ) = (1/52)(1/52)

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