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Three integers are at random chosen between 0 and 9 inclusive. What is the probability that each number is different?

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Three integers are at random chosen between 0 and 9 inclusive. What is the probability that each number is different?

A. 18/25
B. 4/5
C. 81/100
D. 9/10
E. 1

OA A
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Re: Three integers are at random chosen between 0 and 9 inclusive. What is the probability that each number is different

by deloitte247 » Sat Jan 02, 2021 11:32 am
What is the probability that each number of the 3 randomly selected integers is different?
0-9 inclusive, there are 10 different numbers within this range
After selecting the first number, there will be 9 numbers remaining. The probability of selecting a different number is 9/10
After selecting the second number, there will be 8 numbers left, the probability of selecting a different number is 8/10
The final probability for selecting 3 random integers that are different = 9/10 * 8/10
= 9/5 * 4/10 => 9/5 * 2/5
=18/25

ANSWER = A
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