The library labels each book with a five-digit code to identify the book in their computer. Each code is 3 digits (0-9) followed by two letters. How many codes are possible?

A test has 30 multiple choice questions with 4 choices each. Which expressions represents the total number of ways to answer the questions?

A coach needs to choose two players from the hockey team to be captain and assistant captain. If there are 20 players on the team, how many ways can he assign the two roles?

In a card game, each player is dealt a hand of 7 cards from a deck of 52 cards. Which expression represents the number of hands possible?

Sweet Tooth Frozen Yogurt has 12 different toppings to choose from. If they add two new toppings, how many ways more can Ian choose three?

How many different ways can the 11 letters in the word PROBABILITY be arranged?

A month of the year is selected at random. What is the probability that it has 31 days or starts with the letter J?

A card is selected at random from a standard deck of 52 cards. What is the probability that it is not a face card?

A die is rolled then a letter in the word STATISTICS is randomly selected. What is the probability of at least a three, then the letter S?

Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this performance, what is the probability that they both make their next shot?

A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it, then selects another. Find P(a green apple then a nectarine).

A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it, then selects another. Find P(two oranges).

Two dice are rolled. What is the probability that the sum of the dice is at least 5, given that one die is showing a 2?

Out of a group of 120 students that were surveyed about winter sports, 28 said they ski and 52 said they snowboard. 16 of the students who said they ski said they also snowboard. Find P(snowboard|ski).

Out of a group of 120 students that were surveyed about winter sports, 28 said they ski and 52 said they snowboard. 16 of the students who said they ski said they also snowboard. Find P(ski|does not snowboard)

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