Laura has a bag with & balls numbered 1 through 8. She is playing a game of chance. This game is this: Laura chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, so if the number 4 is selected, ss if the number 5 is selected, and $10 if the number 6 is selected. She loses $14 if 7 or 8 is selected. (a) Find the expected value of playing the game. dollars (b) What can Laura expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) Laura can expect to gain money. She can expect to win dollars per selection. O Laura can expect to lose money. She can expect to lose dollars per selection. Laura can expect to break even (neither gain nor lose money).

A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?

Suppose that Alan is taking a multiple choice quiz where there are 3 choices for each question. Suppose he randomly guesses on 4 questions. What is the probability that he gets none of the 4 questions correct ?

A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble.  Half of the red and green marbles are glass, and all of the other marbles are polished stone.  What is the probability of selecting: Add the colors together to determine how many marbles are in the bag.  This will become the right side of the answer.  Determine how many marbles exactly fit the specified criteria to find the left side.  Remember to reduce if necessary. A yellow stone marble:  ____ : ____ A blue or green stone marble:  _____ : _____ Two red marbles in a row without replacement:  _____ : _____ Three glass marbles in a row with replacement:  _____ : _____