SOLUTION: two cards are drawn at random from a standard deck of 52 cards. What is the probability that You get 2 Hearts You get 1 Heart and 1 Spade You get at least 1 Spade

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Question 277220: two cards are drawn at random from a standard deck of 52 cards. What is the probability that
You get 2 Hearts
You get 1 Heart and 1 Spade
You get at least 1 Spade
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
two cards are drawn at random from a standard deck of 52 cards. What is the probability that
You get 2 Hearts
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# of ways to succeed: 13C2 = (13*12)/(1*2) = 78
# of possible outcomes: 52C2 = (52*51)/(1*2) = 1326
P(2 Hearts) = 78/1326
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You get 1 Heart and 1 Spade
P(heart and spade) = P(heart| spade)*P(heart) = 2(13/51)(13/52)= 0.0098
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You get at least 1 Spade
P(at least one spade) = 1 - P(no spades)
= 1 - 39C2/52C2 = 0.4412
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Cheers,
Stan H.