SOLUTION: In a carnival game, a person wagers $2 on the roll of two dice. If the total of the tow dice is 2,3,4,5, or 6 then the person gets $4 (the $2 wager and $2 winnings). If the total

Question 382989: In a carnival game, a person wagers $2 on the roll of two dice. If the total of the tow dice is 2,3,4,5, or 6 then the person gets $4 (the $2 wager and $2 winnings). If the total of the two dice is 8,9,10,11, or 12 then teh person gets nothing (loses $2). If the total of the two dice is 7, the person gets $0.75 back (loses $0.25). What is the expected value of playing the game once?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
You made a mistake writing the problem. I am assuming you meant "If the total of the two dice is 7, the person gets $1.75 back (loses $0.25)."
.
There are 6 ways out of 36 to roll a 7: 6-1 1-6 5-2 2-5 4-3 3-4.
There are 36/2 - 6=18-3=15 ways to roll 2,3,4,5,6 and 15 ways to roll 8,9,10,11,12.
On 15 roll he loses 30 and on 15 he wins 30 and on 6 rolls he loses 1.50
On 36 rolls he has a net loss of $1.50
1.50/36=-$0.04 the expected value of playing the game once.
.
Ed
RELATED QUESTIONS
Could someone help me with this problem? We are playing a dice game with 2 fair dice.... (answered by stanbon,Edwin McCravy)

Chapter 4-2 Problems (22, 38,) 22. In the game of craps using two dice, a person... (answered by edjones)

I'm having issues trying to get this problem down pact, I dont know what im doing wrong. (answered by Boreal)

Please help me with this problem: Sally is playing a dice game with 2 standard 6-sided... (answered by Solver92311,ikleyn)

In a dice game, you lose if you roll a sum of 2, win if you roll a sum of 7, and roll... (answered by solver91311)

Could you please help me solve this problem? ' At this years state fair, there was a... (answered by stanbon)

If you roll a pair of dice (expl. the game of craps (dice), and on your first roll the... (answered by stanbon)

Suppose someone was playing the following dice game. The game costs $5 to play. You roll... (answered by math_tutor2020)

You are playing a game with 2 dice. You roll the two dice and get a total of six. What... (answered by stanbon,Edwin McCravy)