SOLUTION: Two cards are drawn from a standard deck of 52 cards. What is the probability of 1) 2 spades 2) 2 spades or 2 red cards 3) 2 red cards or 2 jacks 4) 2 spades or 2 face cards 26

Question 177398: Two cards are drawn from a standard deck of 52 cards. What is the probability of 1) 2 spades 2) 2 spades or 2 red cards 3) 2 red cards or 2 jacks 4) 2 spades or 2 face cards
26 spades/52 ????
13 red cards
4 jacks
12 face cards
I get in when there is 1 card - how do I figure it out when there is 2?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two cards are drawn from a standard deck of 52 cards.
What is the probability of
1) P(2 spades) = 13C2/52C2 = 78/1326 = 0.0588235
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2) P(2 spades or 2 red cards) 0.0588.. + 26C2/52C2 = 0.3039...
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3) P(2 red cards or 2 jacks) = [26C2 + 4C2]/52C2
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4) P2 spades or 2 face cards) = [13C2 + 16C2]/52C2
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Cheers,
stan H.
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