A psychology class consists of 32 freshmen and 48 sophomores. If the professor selects names from the class list using random sampling. What is the probability that the first student selected will be a freshman? p =     If a random sample of n = 6 students is selected and the first five selected are sophomores, what is the probability that the sixth student selected will be a freshman? p =     What is the probability that the first student selected will be a freshman after 10 sophomores students join the class? p =

Three people are chosen at random from a group of five 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?