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If 2 cards from a standard deck are selected randomly, what is the probability that at least one king or at least 1 ace occurs? (There are 4 Aces, 4 kings and 52 total cards in a standard deck.)

 Nov 10, 2020
 #1
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There are three cases:

 

1 ace 1 king: 2*1/13*4/51=8/663

1 ace 1 other: 2*1/13*47/51=94/221

1 king 1 other: 2*1/13*47/51=94/221

 

so, adding the probabilities up, we have 8/663+282/663+282/663=572/663=44/51.

 Nov 10, 2020
 #2
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The chance of drawing an ace or a king ... I think 86% seems high. 

 

I would have said the first card has an 8/52 chance. 

If that card isn't an ace or a king, then the second card has an 8/51 chance. 

 

Added together is 0.3107 ... 31% still seems high, but whatever. 

Guest Nov 10, 2020

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