SOLUTION: Suppose you draw 5 cards froma standard 52-card deck What is the probability that you draw 4 cards from one suit and one from another? What is the probability of drawing exa

Question 460530: Suppose you draw 5 cards froma standard 52-card deck
What is the probability that you draw 4 cards from one suit and one from another?
What is the probability of drawing exactly one pair?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a)
(13C4*39C1*4)/52C5 four because there are 4 different suits.
=111540/2598960
=.0429
.
b)
4C2*13*12C3*(4)^3/52C5 any one of the 13 ranks and 2 of 4 suits the remaining 3 cards can have any of the 12 remaining ranks and any of the 4 suits.
=1098240/2598960
=.4226
.
Ed

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