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16. A card is selected from a deck of 52 cards. What is the probability of drawing a 10, 9, or 8?

Ask by Munoz Reed. in the United States
Feb 24,2025

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Answer

The probability of drawing a 10, 9, or 8 is 3/13.

Solution

There are 4 cards of each rank in a standard deck. Since we are looking for a 10, 9, or 8, there are 3 ranks of interest, each with 4 cards, giving us a total of 3 × 4 = 12 favorable outcomes. The probability is calculated as the number of favorable outcomes divided by the total number of outcomes: Probability = 12/52 To simplify: 12/52 = 3/13 Thus, the probability of drawing a 10, 9, or 8 is 3/13.

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Beyond the Answer

In a standard deck of 52 playing cards, there are four suits—hearts, diamonds, clubs, and spades—each containing one card of each rank. So, there are a total of three ranks of interest: 10, 9, and 8. Since there are four of each card, we have 4 (for the 10s) + 4 (for the 9s) + 4 (for the 8s) = 12 favorable outcomes. Therefore, the probability of drawing a 10, 9, or 8 is 12 divided by 52, which simplifies to 3/13. To visualize it, picture each suit as a clan in a vibrant card kingdom! The kings and queens reign supreme, but our brave 10s, 9s, and 8s also have their loyal followers. When you reach into this colorful realm, the chance of pulling a member from this trio is like rolling the dice in a game—it’s quite an adventure with a solid 23% chance of success!

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