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

Answer:

$\frac{1}{256}$

Step-by-step explanation:

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

so the probability of 1 ball would be :

$\frac{1}{4}$

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

$\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{256}$