Question

In a shipment of 2,500 video games, 97 are defective. If a person buys two games, what is the probability that neither is defective?

Answer 1

There is a 92.39% probability that neither is defective.

Explanation:

Initially, there are 2500 video games, of which 97 are defective and 2500-97 = 2403 are not defective.

So the probability that the first video game bought is not defective is 2403/2500.

Now there are 2499 videogames, of which 2402 are not defective. So the probability that the second videogame bought is not defective when the first one isn't is 2402/2499.

What is the probability that neither is defective?

`P = (2403)/(2500)*(2402)/(2499) = 0.9239`

There is a 92.39% probability that neither is defective.