A roulette wheel used in a U. S. casino has 38 slots of which 18 are red, 18 are black, and 2 are green. A roulette wheel used in a French casino has 37 slots, of which 18 are red, 18 are black, and 1 is green. A ball is rolled around the wheel and ends up in one of the slots with equal probability. Suppose that a player bets on red. If a $1 bet is placed, the player wins $1 if the ball ends up in a red slot. (The player’s $1 bet is returned.) If the ball ends up in a black or green slot, the player loses $1. Find the expected value of this game to the player in a. The United States. b. France.

Molly plans to sew together a costume for the school play. She has one of each of the following colors

of buttons in her pocket:

· Black

· Green

· Red

· White

All of the buttons are the same size and shape.

Molly will select one button from her pocket without looking.

1) What is the probability that she will select a red button? Show or explain your answer.

Molly also has a bag of ribbons made of the same material and are all the same size. She has one each

of the following colors of ribbon in her bag:

· Black

· White

· Yellow

Molly will select one button from her pocket and one ribbon from her bag without looking.

2) Make a tree diagram or organized list showing all the possible combinations of one button and one ribbon

that Molly could select.

3) What is the probability that Molly will select a black button and a black ribbon? Show or explain how you got

your answer.

4) What is the probability that Molly will select a button and a ribbon that are different colors from each other?

Show or explain how you got your answer

b

step-by-step explanation: