Betty is making a sundae. She must randomly choose one flavour of ice cream (chocolate or vanilla or strawberry), one syrup (butterscotch or fudge) and one topping (cherry or banana or pineapple). What is the probability that she will choose a sundae with vanilla ice cream, fudge syrup and banana topping?
Each letter of the English alphabet is written on a separate tile and placed in a bag. Alonso draws one letter at random from the bag. What is the probability that Alonso draws a letter that is in his name?
Luke has red marbles and blue marbles in a bag. If he chooses a marble at random,
the probability that he will choose a blue marble is 2 out of 5. Luke adds 5 blue marbles to
the bag and removes 5 red marbles. If he chooses a marble at random, the probability
that he will choose a blue marble is now 3 out of 5. How many marbles are in the bag?
Challenge Problem
IGNORE THIS PROBLEM - too difficult
A chess club has 10 members, 4 women and 6 men, of whom two are brothers.
A team of 4 members is selected to play a match. Suppose that each member has an equal chance of being selected what is the probability that both brothers are in the team and what is the probability that neither brother is in the team?
What is the probability that there are at least two women in the team and what is the probability that there are at least two men in the team?
