3
QuizMultiple Choice

The Multiplication Rule for Independent Events — Quiz

Question 3 • Algebra 2 with Probability

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 20 s?

Answer
A
0 point 0 0 1 6
B
0 point 4 0 9 6
C
0 point 5 9 0 4
D
0 point 1 0 2 4

Explanation

There are 10 integers in the 20s (20 through 29) out of 50, so the probability one number is not in the 20s is 40/50 = 0.8. The probability all 4 numbers are not in the 20s is 0.8⁴ = 0.4096. Therefore, the probability at least one is in the 20s is 1 − 0.4096 = 0.5904, choice C.

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