Question

There are 4 balls in a bag, each of a different color. 4 balls are picked out of the bag randomly, one at a time, and after the color is recorded, the ball is put back into the bag. What is the probability that the same ball was picked 4 times?

Answer 1

`(1)/(256)`

Explanation:

Your total is 4 and each one is a individual (1)

so the probability of 1 ball would be :

`(1)/(4)`

because the question asks for the probability they are picked 4 times, we would need to multiply ¼ four times.

`(1)/(4) * (1)/(4) * (1)/(4) * (1)/(4) = (1)/(256)`