If you pull one card out of a standard deck of cards, what is the probability that you pull either a Queen or a Jack?

You play a game with your friend in which you roll a die and flip a coin. If you roll an even number on the die and flip a Head on the coin you win $10, if you don’t you lose $3.

a) What is the Expected Value for this game?

b) Is this game fair?

c) If you played this game 100 times with your friend, how much would you expect to win or lose?

You are planning on having 4 children with your new spouse. What is the probability that you have exactly three boys and one girl (in any order)?

What is the probability that you do not get three tails when you flip a coin three times?