8
QuizMultiple Choice

Relative Frequencies

Question 8 • AZ-Common Core Algebra II A

A medical device company knows that 12% of patients experience injection-site reactions with the current needle. If 6 people receive injections with this type of needle, what is the probability that at least one of them has an injection-site reaction?

Answer
A
0.0633
B
0.4644
C
0.5356
D
0.7200

Explanation

It is easier to find the probability that none of the 6 patients has a reaction, then subtract from 1. Each patient has an 88% chance of no reaction, so the probability that all 6 have no reaction is 0.88⁶ ≈ 0.4644. Therefore, the probability that at least one has a reaction is 1 − 0.4644 = 0.5356, choice C.

AI-written and checked against the verified answer.

Previous
Next