Question

After watching Ellen DeGeneres play a game called Let It Rain on her daytime talk show, you make up your own version to play at home with your roommate. You play the game as follows: each person takes a turn flipping a fair coin. If the coin lands on heads, that person rolls a 4-sided die where 3 sides of the die are pictures of water, and 1 side is a picture of money. If the die lands on a picture of water, you are rewarded with a bucket of water thrown at you by your opponent. If the die lands on a picture of money, you win $3. If the coin lands on tails, you win $2. The game is played until someone wins $3 or more OR you have played 2 rounds, whichever comes first.

Answer 1

Explanation:

• if the coin is flipped once, there are two possibilities; is either you get
• a Head or a Tail and
• if 3 sides of the die are pictures of water; 3/4

• and 1 if side is a picture of money = 1/4

a) P(bucket of water thrown at you ) = 1/2 x 3/4 = 3/8

b) If i start the game first, the elements of the space X will be [0, 2, 3 ,4]

c) P(x=5) = P(X=2) + P(X=3)

= 5/8