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You are dealt two cards without replacement what is the probability the first card is one of 4 twos and second is 4 tens in a deck

1 Answer

3 votes
A = drawing a two card
B = drawing a ten card

P(A) = 4/52 = 1/13
P(B|A) = P(A and B)/P(A)
P(A)*P(B|A) = P(A and B)
P(A and B) = P(A)*P(B|A)
P(A and B) = (1/13)*(4/51)
P(A and B) = 4/663
P(A and B) = 0.006033

The answer as a fraction is exactly 4/663
The answer in decimal form is approximately 0.006033
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