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(Chapters 5 thru 8 ) This test: 20 point(s) possible For a lottery game, a player must match a sequence of three repeatable numbers, ranging from 0 to 9 , in exact order (for example, 3-7-2). With a single ticket, what is the probability of matching the three winning numbers?

Ask by Reeves Willis. in the United States
Nov 17,2024

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The probability of matching the three winning numbers is \(\frac{1}{1000}\) or 0.001.

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Beyond the Answer

To figure out the probability of matching the three winning numbers in a lottery game where each number ranges from 0 to 9, we can start by acknowledging that each digit has 10 possible values (0 through 9). Since the player must correctly guess all three numbers in the exact sequence, the total number of possible combinations is 10 (for the first number) × 10 (for the second number) × 10 (for the third number), which equals 1,000 possible sequences. Therefore, the probability of matching the exact sequence of three numbers with a single ticket is 1 in 1,000, or 0.001. This means there's a 0.1% chance of winning with just one ticket. Not too high, but hey, someone's got to win eventually, right? Good luck!

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