SOLUTION: Assume that 2 cards are drawn from a standard​ 52-card deck. Find the following probabilities. ​a) Assume the cards are drawn without replacement. Find the probability

Algebra ->  Permutations -> SOLUTION: Assume that 2 cards are drawn from a standard​ 52-card deck. Find the following probabilities. ​a) Assume the cards are drawn without replacement. Find the probability      Log On


   

Question 1072388: Assume that 2 cards are drawn from a standard​ 52-card deck. Find the following probabilities.
​a) Assume the cards are drawn without replacement. Find the probability of drawing 2 face cards.
​b) Assume the cards are drawn with replacement. Find the probability of drawing 2 face cards.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that 2 cards are drawn from a standard​ 52-card deck. Find the following probabilities.
a) Assume the cards are drawn without replacement. Find the probability of drawing 2 face cards.
There are 12 face cards.
1st draw is 12/52, then 11/51
--> (3/13)*(11/51) = 11/221
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b) Assume the cards are drawn with replacement. Find the probability of drawing 2 face cards.
--> (4/13)*(4/13) = 16/169