In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the

Question

3 years ago

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In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the

deck. a winning "blackjack" hand is won by getting 1 of the 4 aces and 1 of 16 other cards worth 10 points. the two cards can be in any order. find the probability of being dealt a blackjack hand. what approximate percentage of hands are winning blackjack hands?

Mathematics

1 answer:

Tpy6a [65] · Answer 1 · 2022-05-18T12:25:10+03:00

We are given here that a blackjack hand consists of:

1 of the 4 aces = 4 / 52

1 of the 16 cards worth 10 points (10, jack, queen, king) = 16 / 52

So assuming that cards are dealt without replacement, therefore the probability of getting a blackjack hand is:

P = (4 / 52) * (16 / 51) + (16 / 52) * (4 / 51)

P = 0.04827 = 4.83%

Therefore there is a 4.83% probability to get a blackjack hand.

In the game of blackjack played with one​ deck, a player is initially dealt 2 different cards from the 52 different cards in the

In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the