4
lesson pretestMultiple Choice

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Question 4 • Algebra 2 with Probability

A medical device company knows that 11 percent 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 point 7 9 2 1
B
0 point 0 1 0 8
C
0 point 0 0 1 3
D
0 point 0 8 7 1

Explanation

The probability of a reaction for the first person is 0.11. Each of the next two people has a 0.89 probability of not having a reaction, so multiply the independent probabilities: 0.11 × 0.89 × 0.89 = 0.087131, which rounds to 0.0871. This matches choice D, 0.0871.

AI-written and checked against the verified answer.

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