Problem #PRU-65337

Problems Probability and statistics Probability theory Discrete distribution Set theory and logic Set theory Inclusion-exclusion principle

Problem

Peter and 9 other people play such a game: everyone rolls a dice. The player receives a prize if he or she rolled a number that no one else was able to roll.

a) What is the probability that Peter will receive a prize?

b) What is the probability that at least someone will receive a prize?