Answer:
There is a 92.39% probability that neither is defective.
Step-by-step 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?
[tex]P = \frac{2403}{2500}*\frac{2402}{2499} = 0.9239[/tex]
There is a 92.39% probability that neither is defective.
