SOLUTION: given a regular 52- card deck, what is the probabliuty of getting a 5-card hand with at least one heart? and what is the probabilty of getting a 5-card hand that consists of 3 red

Question 465368: given a regular 52- card deck, what is the probabliuty of getting a 5-card hand with at least one heart? and what is the probabilty of getting a 5-card hand that consists of 3 red cards and 2 black cards?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
given a regular 52- card deck, what is the probability of getting a 5-card hand with at least one heart?
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P(at least one heart) = 1 - P(no heart)
= 1 - [39C5/52C5]
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= 1 - [0.2215]
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= 0.7785
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and what is the probabilty of getting a 5-card hand that consists of 3 red cards and 2 black cards?
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P(3red and 2 black)
= [26C3*26C2]/[52C5]
= 0.3251
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Cheers,
Stan H.
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