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Blackjack, or twenty-one as it is frequently called, is a popular gambling game played in Las Vegas 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 contains 16 cards with a point value of 10 (jacks, queens, kings, and tens) and four aces. a. W hat is the probability that both cards dealt are aces or 10-point cards

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Answer:

=[TeX]\frac{5}{13}[/TeX]

Step-by-step explanation:

Total Number of Cards=52

Number of Cards having a point value of 10=16

Number of Aces=4

We want to determine the probability that both cards dealt are aces or 10-point cards.

P(Aces) = [TeX]\frac{4}{52}[/TeX]

P(10 point cards)=[TeX]\frac{16}{52}[/TeX]

Definition

If A and B are mutually exclusive events,

Probability (A OR B) = P(A)+P(B)

P(both cards dealt are aces or 10-point cards) = P(Aces) + P(10 point cards)

=[TeX]\frac{4}{52}+\frac{16}{52}[/TeX]

=[TeX]\frac{20}{52}= \frac{5}{13}[/TeX]

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