# A collection of 22 laptops includes 6 defective laptops. If a sample of 3 laptops is randomly chosen from the collection, what is the probability that at least one laptop in the sample will be defective?

##### 2 Answers

Mar 16, 2018

#### Explanation:

The probability that a laptop is defective is

The probability of a laptop not being defective is

The probability that at least one laptop is defective is given by:

P(1 defective)+P(2 defective)+P(3 defective)

, as this probability is cumulative. Let

(Sum up all of the probabilities)

Mar 16, 2018

0.6364

#### Explanation: