15. Five friends go to their favourite restaurant which has 8 different lunches on the menu. If the friends are equally likely to pick any of the dinners, what is the probability that two or more of the friends will order the same lunch?

Three people are chosen at random from a group of live men and ten women. What is the probability that all three are men?

Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.

In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five numbers match the five numbers drawn (in any order), the player wins (or shares) the top prize. What is the probability of winning the top prize when the player buys one ticket?