In the card game blackjack, each card in the deck has a numerical value. Number cards (2 through 10) have the value printed on the card. Face cards (jacks, queens, and kings) have the value 10, and aces have the value 11. For reference, assume a standard deck includes 4 suits (clubs, spades, diamonds, and hearts) and the cards 2 - 10, J, Q, K, and A in each suit for a total of 13 cards per suit. Thus, there are 52 cards in the standard deck. Two cards are drawn (with out replacement) from a well-shuffled deck. What is the probability that the sum of the values on the cards is 21? NOTE: You can answer as a fraction, a decimal to 3 decimal places, or a percent to 1 decimal place.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In the card game blackjack, each card in the deck has a numerical value. Number cards (2 through 10) have the value printed on the card. Face cards (jacks, queens, and kings) have the value 10, and aces have the value 11.
For reference, assume a standard deck includes 4 suits (clubs, spades, diamonds, and hearts) and the cards 2 - 10, J, Q, K, and A in each suit for a total of 13 cards per suit. Thus, there are 52 cards in the standard deck.
Two cards are drawn (with out replacement) from a well-shuffled deck.
What is the probability that the sum of the values on the cards is 21?
NOTE:
You can answer as a fraction, a decimal to 3 decimal places, or a percent to 1 decimal place.
Transcribed Image Text:In the card game blackjack, each card in the deck has a numerical value. Number cards (2 through 10) have the value printed on the card. Face cards (jacks, queens, and kings) have the value 10, and aces have the value 11. For reference, assume a standard deck includes 4 suits (clubs, spades, diamonds, and hearts) and the cards 2 - 10, J, Q, K, and A in each suit for a total of 13 cards per suit. Thus, there are 52 cards in the standard deck. Two cards are drawn (with out replacement) from a well-shuffled deck. What is the probability that the sum of the values on the cards is 21? NOTE: You can answer as a fraction, a decimal to 3 decimal places, or a percent to 1 decimal place.
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