BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

Expert replies
by AAPL » Mon Dec 28, 2020 10:54 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Manhattan Prep

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
Join the discussion
Source: — Problem Solving |

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
Join the discussion