Question

12 A quality control inspector at a plant has found the probability of randomly selecting a defective

battery from a batch of batteries being produced is 0.02. The probability of rain that day has been
projected to be 0.75. If these two events are independent, what is the probability that on that particular
day, it rains, and the inspector chooses a defective battery from the batch being produced?
(1) 0.77
(3) 0.015
(2) 0.5
(4) 0.95

Answer 1

The answer is (3) 0.015.

Explanation:

This is because to find the probability of finding both independent events happening at the same time, we must multiply them.

The independent events are:

- Randomly selecting a defective battery: 0.02

- Raining tomorrow: 0.75

0.02 x 0.75 = 0.015

Therefore, the answer is (3) 0.015.