Question

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 10% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 60 cans?

Answer 1

It would be 1%

Explanation:

First of all, note that any of the cans with the batch have the same chance at being defective, so ingore that. However, note the chance that each one is defective:

10%

So if you picked up any can, it would have a 10% chance of being defective. With this, by picking up two cans, you would do:

0.1 * 0.1 = 0.01

To find the chance of both cans being defective, being 1% for both of the selected cans being defective.