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You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.

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28hearnsa
The probability that the first card is 2, and the second card is 10 is 0.006
In a standard deck of cards, we have:
n(2) = 4 -- number of cards numbered 2
n(10) = 4 -- number of cards numbered 4
n = 52 --- the total number of cards in a standard deck
The selection of each card is without replacement.
So, the probability that the first is 2, and the second is 10 is:

Pr = n(2)/(n) x n(10)/(n-1)
So, we have:
Pr = (4)/(52) x (4)/(52-1)
Subtract 1 from 52
Pr = (4)/(52) * (4)/(51)
Multiply
Pr = (16)/(2652)

Divide
Pr = 0.006
Hence, the probability is 0.006

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