Blackjack, or 21, is a popular gambling game played in casinos. A player is deal
ID: 3171770 • Letter: B
Question
Blackjack, or 21, is a popular gambling game played in casinos. A player is dealt two cards. Face cards (Jacks, Queens, and Kings) and tens have a point value of 10. Aces have a point value of 1 or 11. A 52 card deck has 16 cards with a point value of 10 and four aces. Use the hypergeometric probability distribution to answer the following questions: What is the probability that both cards dealt are either aces or a 10 point card? What is the probability that both of the cards are aces? What is the probability that both of the cards have a point value of 10?Explanation / Answer
Result:
P(X=x) = (N1Cx) (N-N1Cn-x) (NCn)-1
a).
N=52
N1=20
n=2
x=2
P( x=2) =0.1433
b).
a).
N=52
N1=4
n=2
x=2
P( x=2) = 0.0045
c).
a).
N=52
N1=16
n=2
x=2
P( x=2) = 0.0905
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