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

Carter Dougherty

13 March, 19:14

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?

+2

Answers (1)

Know the Answer?

Genesis Schultz · 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.