Jane has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. 4 This game is this: Jane 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, $6 if the number 4 is selected, $8 if the number 5 is selected, and $10 if the number 6 is selected. She loses $13 if 7 or 8 is selected. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Jane expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) O Jane can expect to gain She can expect to win money. dollars per selection. O Jane can expect to lose money. She can expect to lose dollars per selection. O Jane can expect to break even (neither gain nor lose money).

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $⁢40. Otherwise, you pay your friend $⁢10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:

Jina has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is this: Jina chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, S3 if the number 3 is selected, S4 if the number 4 is selected, and $5 if the number 5 is selected. She loses $5 if 6, 7, or 8 is selected. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Jina expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) O Jina can expect to gain money. She can expect to win | dollars per selection. O Jina can expect to lose money. She can expect to lose dollars per selection. O Jina can expect to break even (neither gain nor lose money).

A bag contains 16 red coins, 8 blue coins, and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair?

You are on a game show. You are given the choice of four