You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose a second letter. Find the probability of choosing an H and then a D.

Question

Mathematics

Phoenix Roberts

25 December, 11:33

You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose a second letter. Find the probability of choosing an H and then a D.

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Answers (1)

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Drew Ellis · Answer 1

1/720

Step-by-step explanation:

A through J is 10 letters. The probability of the first letter is 1/10, then H is 1/9 because there are 9 left, and D is 1/8, because there are 8 left. Since you will choose all 3 letters, you need to multiply the probabilities. Multiply to get 1/10*1/9*1/8 which is 1/720. Good luck!