3
QuizMultiple Choice

Relative Frequencies

Question 3 • AZ-Common Core Algebra II A

A computer’s random number generator produces random integers from 1 to 50. What is the probability that at least one of the first 4 generated numbers is in the 20s?

Answer
A
0.0016
B
0.1024
C
0.4096
D
0.5904

Explanation

There are 10 integers in the 20s out of 50, so each number has probability 10/50 = 0.2 of being in the 20s. The probability that none of the first 4 numbers is in the 20s is 0.8⁴ = 0.4096. Therefore, the probability that at least one is in the 20s is 1 − 0.4096 = 0.5904, choice D.

AI-written and checked against the verified answer.

Previous
Next