SOLUTION: A card is selected from a deck of 52 playing cards. Find the probability of selecting � a prime number under 10 given the card is a heart. (1 is not prime.) �

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Question 600478: A card is selected from a deck of 52 playing cards. Find the probability of selecting

� a prime number under 10 given the card is a heart. (1 is not prime.)
� a diamond or heart given the card is red.
� a King, given that the card is not a spade.

*****Show step by step work. Give all solutions exactly in reduced fraction form.*****
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A card is selected from a deck of 52 playing cards. Find the probability of selecting
Form: P(a | b) = P(a AND b)/P(b)
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� a prime number under 10 given the card is a heart. (1 is not prime.)
= P(prime under 10 AND heart)/P(heart) = (3/52)/(13/52) = 3/13
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� a diamond or heart given the card is red.
= P(d or h AND red)/P(red) = (26/52)/(26/52) = 1
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� a King, given that the card is not a spade.
= P(k AND not spade)/P(not spade) = (3/52)/(39/52) = 3/39 = 1/13
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Cheers,
Stan H.