SOLUTION: A card is selected from a standard deck of 52 playing cards. Find the probability for 1. a prime number under 10 given the card is red (1 is not prime) 2. A King, given that th

Question 312798: A card is selected from a standard deck of 52 playing cards. Find the probability for
1. a prime number under 10 given the card is red (1 is not prime)
2. A King, given that the card is not a heart
3. a nine given the card is a face card (An ace is not a face card)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A card is selected from a standard deck of 52 playing cards. Find the probability for
1. a prime number under 10 given the card is red (1 is not prime)
Primes: 2,3,5,7
Reds:26
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P(prime<10 |red) = P(prime<10 AND Red)/P(Red) = (8/52)/(26/52)
= (2/13)/(1/2) = 4/13
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2. A King, given that the card is not a heart
P(King | not heart) = P(King AND not heart)/P(Heart) = (3/52)/(26/52) = 3/26
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3. a nine given the card is a face card (An ace is not a face card)
P(9 | face card) = P(9 AND face card)/P(face card) = (0/52)/(12/52) = 0
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Cheers,
Stan H.

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