Question

Suppose 5 fair die are rolled simultaneously? What is the probability that at least three of the dice show the same number?

Please include detailed steps and explanation

Answer 1

Probability that at least three of the 5 dice shows the same number is computed here as:
= Probability that exactly 3 show the same number and rest 2 are different from that number and different from each other + Probability that 3 show the same number and rest 2 are also same numbers + Probability that 4 dice show the same number + Probability that all show the same number

Therefore 0.2130 is the required probability here.