PLEASE HELP! I need help!

Question

There are 5 different kinds of fruits. There is a fruit of every kind that can be randomized to any position. What is the probability of getting three identical fruits in a row?

Answer 1

The probability of getting any fruit randomly is 1/5.

Assuming that once a fruit is chosen, it still has the same probability of getting picked again, 1/5, the probability of three identical fruits in a row would be:

1/5 x 1/5 x 1/5 = 1/125.

This is known as compound probability. The probability of these idependent events all happening is the probabiity of each event multiplied by the others. I hope this helps!