cards are chosen at random from a deck without replacement, what is the probability that at least one is a diamond?

Suppose a 5 card hand is drawn from a standard deck of 52 cards. What is the probability that there are 2 face cards and 3 aces?

Find the probability that a card is drawn at random from a well shuffled deck of cards is red or Jack?

Suppose 4 letters from a sign reading "Montreal" fell on the street. A mathematician find the 4 letters and randomly place them back on the sign (each of them on a spot where a letter fell off). What is the probability the sign reads "Montreal"?

A box contains 8 red balls, 4 blue balls, and 3 green balls. If three balls are drawn without replacement, what is the probability that the first two balls drawn are red and the third ball drawn is blue?

A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is the probability that all three people will be women?

A box contains 2 green, 3 red and 4 yellow balls. If 3 balls are drawn at random, what is that probability that it will be 1 green, 1 red and 1 yellow?