Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit

10 such targets in a row.

Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?

Question

Mathematics

Malcolm Kaufman

6 December, 22:09

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit

10 such targets in a row.

Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?

+5

Answers (1)

Know the Answer?

Keshawn Harper · Answer 1

40%

Step-by-step explanation:

The probability he misses at least one of the targets is 1 minus the probability that he hits all of the targets.

P = 1 - 0.95¹⁰

P = 1 - 0.599

P = 0.401

Rounded, there is a 40% chance he misses at least one target.