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Explanation:
These examples were used on April 16th to illustrate calculations with Hypergeometric and Poisson random variables. 

Example 1:

You have received 4 chances to win a door prize. You will get to draw four tickets from a fishbowl containing 20 tickets. Four of the tickets in the fishbowl indicate the prize you have won. The remaining tickets simply say "better luck next time".

a. You would like to win two prizes, one for you and one for your date. What is the probability of winning two prizes?

b. If you were to win at least one prize, you could give it to your date. What is the probability of winning at least one prize?

Example 2:

The number of cars passing a fixed point on a highway is often modeled as a Poisson random variable. If the average number of cars per minute is 10, determine the probabilities of the following events:

a. Exactly 5 cars in one minute

b. No more than three cars in one minute