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What is the probability that the sum of two dice will be less than 5? How many throws will it take you to hit your first "bullseye" on a dart board? Use discrete probability distributions to find out!

Jill has a set of \(33\) cards labelled with integers from 1 through \(33.\) She faces all the cards down, shuffles the deck repeatedly and then picks the card on the top. What is the probability that the card she picks shows a number larger than \(19?\)

**Note:** No two cards have the same number.

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Harry spins a roulette which consists of integers from 1 through \(14\) (not necessarily in order). What is the variance of the outcome he gets?

**Note:** The areas that correspond to each number are equal.

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What is the expected value of the outcome when throwing a fair die?

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