Question

The probability that a new spark plug is defective is 0.06. You need two new spark plugs. What is the probability that both spark plugs you buy are defective?

A) 0.06
B) 0.12
C) 0.0036
D) 0.0030

Answer 1

i think it's D for sure but i could be wrong So.

Answer 2

Option C - 0.0036

Explanation:

Given : The probability that a new spark plug is defective is 0.06. You need two new spark plugs.

To find : What is the probability that both spark plugs you buy are defective?

Solution :

Probability of one spark plug being defective is 0.06

We have to find for two defective spark plugs.

This situation is a compound event in which there is more than one possible outcome.

So, The Probability of two spark plug being defective is

`P=0.06* 0.06`

`P=0.0036`

Therefore, The Probability of two spark plug being defective is 0.0036.

So, Option C is correct.