When playing the card game Blackjack, multiple decks are used and reshuffled often so that the outcomes of the cards dealt are a

Question

3 years ago

9

When playing the card game Blackjack, multiple decks are used and reshuffled often so that the outcomes of the cards dealt are a

pproximately independent. When a player receives two cards that are a combination of an ace and a face card, this is called a “natural blackjack” and automatically wins. A natural blackjack should occur in 4.5% of the rounds played. What is the probability that a player plays 20 rounds of Blackjack and gets two or more natural blackjacks?

Advanced Placement (AP)

1 answer:

Pavlova-9 [17] · Answer 1 · 2022-04-10T11:04:28+03:00

Pavlova-9 [17]3 years ago

7 0

Answer:

The correct answer is (C) or .227. The number of natural blackjacks (X) follows a binomial distribution with n=20, p=0.045.

Explanation:

P(X≥2)=1−P(X≤1)=1−0.773=0.227.