SOLUTION: Suppose two cards are drawn from a standard deck of cards. Find the probability that the second card is a prime number given that the first card is not a prime number.

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Question 361892: Suppose two cards are drawn from a standard deck of cards. Find the probability that the
second card is a prime number given that the first card is not a prime number.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2,3,5,7 are the prime numbers in the deck.
Since there are 4 suits, that makes a total of 16 primes in 52 cards.
P(prime)=16%2F52=4%2F13
P(not prime)=36%2F52=9%2F13
If the first card is not prime, then for the second draw.
P(prime)=16%2F51
P(2nd card prime, 1st card not prime)=%2816%2F51%29%289%2F13%29=48%2F221