In a box of 100 batteries, 3 do not work. A product tester randomly picks two batteries to test. what is the possibility that both do not work if the first one is not put back after being tested

Respuesta :

Answer:

1/1650

Step-by-step explanation:

The probability of picking a bad battery the first time is 3/100 because there are 3 batteries that do not work out of the 100 batteries

Since we picked a battery, that leaves 99 batteries with 2 batteries that do not work, assuming we picked one on the first pick;

So the probability of picking a bad battery the second time is 2/99

The total probability is (3/100)(2/99) = 6/9900 = 1/1650