Assume that you are dealt four cards from a well-shuffled standard deck. What is the probability...

Question

Question

Assume that you are dealt four cards from a well-shuffled standard deck.

What is the probability of 4 aces given that you have at least 3 aces?

math Statistics-And-Probability

Answer 1

Answer #1

P(at least 3 aces)=P(3 ace and 1 other card)+P(4aces) =(₄C₃)*(₄₈C₁)/(₅₂C₄)+(₄C₄)*(₄₈C₀)/(₅₂C₄)

=4*48/270725+1*1/270725 =193/270725

therefore P(4 aces given at least 3 aces)=P(4 aces)/P( at least 3 aces)

=(1/270725)/(193/270725) =1/193

Answer 2

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