Question

A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d). a. What is the probability that both cards are queens? P(both queens) = 0.0045 (Round to four decimal places as needed.) b. What is the probability that the first card is a 10 and the second card is a 5 or a 6? P(10 followed by 5 or 6) = 0.0121 (Round to four decimal places as needed.) c. If you were sampling with replacement, what would be the answer in (a)? P(both queens) = 0.0059 (Round to four decimal places as needed.) d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What is the probability of getting blackjack in this problem? P(blackjack) = 0.0483 (Round to four decimal places as needed.)

          A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d).
a. What is the probability that both cards are queens?
P(both queens) = 0.0045 (Round to four decimal places as needed.)
b. What is the probability that the first card is a 10 and the second card is a 5 or a 6?
P(10 followed by 5 or 6) = 0.0121 (Round to four decimal places as needed.)
c. If you were sampling with replacement, what would be the answer in (a)?
P(both queens) = 0.0059 (Round to four decimal places as needed.)
d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What is the probability of getting blackjack in this problem?
P(blackjack) = 0.0483 (Round to four decimal places as needed.)

A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d).
a. What is the probability that both cards are queens?
P(both queens) = 0.0045 (Round to four decimal places as needed.)
b. What is the probability that the first card is a 10 and the second card is a 5 or a 6?
P(10 followed by 5 or 6) = 0.0121 (Round to four decimal places as needed.)
c. If you were sampling with replacement, what would be the answer in (a)?
P(both queens) = 0.0059 (Round to four decimal places as needed.)
d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What is the probability of getting blackjack in this problem?
P(blackjack) = 0.0483 (Round to four decimal places as needed.)

Added by Jeanette K.

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