You roll a die. If it comes up a six, you win $90. If not, you get to roll again. If you get a six the second time, you get $40. If not you lose.   A) create a probability model for the amount you win at this game   B) find the expected value of your winnings   C) In order to break even, what is the most you should play this game?

On the last day of a Shakespeare class, an English teacher asked her students which play they liked the best. She made a table of the results.   Hamlet 11 Macbeth 4 Twelfth Night 1 Romeo and Juliet 6     What is the probability that a randomly selected Shakespeare student likes Hamlet best? Write your answer as a fraction or whole number.   P(Hamlet) =

Calculate the probability of winning: Roll two standard dice. You win if you get a sum of 4 or get a sum of 8.

Now you play toss-a-coin. If the coin comes up Heads, you win. If it comes up Tails, your friend wins.What is the probability that you win 4 games out of 10 now? This is a numerical question - give the answer in percent, and round to four digits after the decimal point