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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
Win if a 1 or 4 shows face up on the die
Loss if a 2 or 5 comes up
piggy bank gets the money if a 3 or 6 comes up

Probability of winning=+2%2F6=1%2F3

Probability of loosing=+4%2F6=2%2F3
Winning = quarter win(probability of winning) + quarter loose(probability of loosing)
=0.25%281%2F3%29+%2B+%28-0.25%29%282%2F3%29
=-0.25%2F3
= -+0.08
- sign shows loss !

answer: D. −$0.08