SOLUTION: 25. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results. a. One is a face card and the other is not. b. A

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Question 250029: 25. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
a. One is a face card and the other is not.
b. At most one is a queen.
pick face card 4C2 = 12 ways
2 cards w/o restriction 52C2
P (2 cards) = 12/22100 = 6/11050 = 1841.666????

Found 2 solutions by stanbon, whistler68:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
a. One is a face card and the other is not.
P(face) = 12/52
P(not face|face) = 40/51
P(face AND not face) = (12/52)(40/51) = 480/2652 = 0.1810..
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b. At most one is a queen.
P(at most one is a queen) = 1 - P(none is a queen)
= 1 - (48/52)(47/51)
= 1 - 2256/2652 = 0.1493
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Cheers,
Stan H.

Answer by whistler68(1) (Show Source):
You can put this solution on YOUR website!

One is a face card, the other is not = .3620 (Not right, Stan)
At most one is a queen = .9955 (Try again, Stan!)