SOLUTION: Consider the following game that involves tossing a die. If the outcome is an even number,you win SZL20. If the outcome is 1 or 3,you lose SZL10. If the outcome is 5,you lose SZL30

Algebra ->  Permutations -> SOLUTION: Consider the following game that involves tossing a die. If the outcome is an even number,you win SZL20. If the outcome is 1 or 3,you lose SZL10. If the outcome is 5,you lose SZL30      Log On


   

Question 1020261: Consider the following game that involves tossing a die. If the outcome is an even number,you win SZL20. If the outcome is 1 or 3,you lose SZL10. If the outcome is 5,you lose SZL30.What are the expected winnings?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the probabilities,
P%28Even%29=1%2F2
.
.
.
P%281%29=1%2F6
P%283%29=1%2F6
P%281_or_3%29=1%2F6%2B1%2F6=1%2F3
.
.
.
P%285%29=1%2F6
So then the expected winnings are,
E=%281%2F2%29%2820%29%2B%281%2F3%29%28-10%29%2B%281%2F6%29%28-30%29
E=10-10%2F3-5
E=30%2F3-10%2F3-15%2F3
E=5%2F3
SZL1.67