SOLUTION: You are playing a dice game called Noluz against one other person. Each time you play, both players pay a quarter. You win the money if a 1 or 4 shows face up on the die. The other
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-> SOLUTION: You are playing a dice game called Noluz against one other person. Each time you play, both players pay a quarter. You win the money if a 1 or 4 shows face up on the die. The other
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Question 1178217: You are playing a dice game called Noluz against one other person. Each time you play, both players pay a quarter. You win the money if a 1 or 4 shows face up on the die. The other player wins if a 2 or 5 comes up, and the piggy bank gets the money if a 3 or 6 comes up. This money will then be donated to a charity that you pick.
What is the expected value per turn for playing Noluz?
A. $0.50
B. −$0.17
C. −$0.25
D. −$0.08
E. $0.06 Answer by MathLover1(20850) (Show Source):
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Given:
Win if a or shows face up on the die
Loss if a or comes up
piggy bank gets the money if a or comes up
Probability of =
Probability of =
Winning = quarter win(probability of winning) + quarter loose(probability of loosing)
=
=
=
- sign shows loss !