Incorrect, 12.1.53

You purchased a five-pack of new light bulbs that were recalled because 11

%

of the lights did not work. What is the probability that at least one of your lights is defective?

The probability that at least one of the light bulbs is defective is

0.442

Step-by-step explanation:

Step 1:

Given that 11% of the lights are defective.

So probability of a light randomly chosen is defective is. 11

This implies probability of a light randomly chosen is not defective is 1 -.11 =.89

Step 2:

In a pack of 5 light bulbs the probability that none of them are defective is (0.89) ^ 5

Hence the probability that at least one of the light bulbs is defective is

1 - (0.89) ^ 5 = 1 - 0.558 = 0.442