10
QuizMultiple Choice

Relative Frequencies

Question 10 • AZ-Common Core Algebra II A

A medical device company knows that 11% of patients experience injection-site reactions with the current needle. If 3 people receive injections with this type of needle, what is the probability that the first person has an injection-site reaction, but the next two do not?

Answer
A
0.0013
B
0.0108
C
0.0871
D
0.7921

Explanation

The first person has a reaction with probability 0.11. Each of the next two does not, with probability 1 − 0.11 = 0.89. Assuming the outcomes are independent, multiply: 0.11 × 0.89 × 0.89 = 0.087131, which rounds to 0.0871. So the correct choice is C, 0.0871.

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