SOLUTION: In a carnival game, you roll 2 dice. If the sum is 6, you receive a $5 payoff. If the sum is 12, you receive a $8 payoff. Otherwise, you receive no payoff. What is the expected pay

Question 1042693: In a carnival game, you roll 2 dice. If the sum is 6, you receive a $5 payoff. If the sum is 12, you receive a $8 payoff. Otherwise, you receive no payoff. What is the expected payoff? (Round your answer to two decimal places.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a carnival game, you roll 2 dice. If the sum is 6, you receive a $5 payoff. If the sum is 12, you receive a $8 payoff. Otherwise, you receive no payoff. What is the expected payoff? (Round your answer to two decimal places.)
-----
Sum can be 6 in 5 ways:: 1/5;2/4;3/3;4/2;5/1
Sum can be 12 in 1 wah:: 6/6
--------
Random "gain":: .....$8......$5......0
Probability:::: ..... 1/12...5/12....6/12
---------------
Expected Gain = (1*8 + 5*5 + 6*0)12 = 33/12 = $2.75
---------------------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
Suppose it costs $57 to roll a pair of dice. You get paid 8 dollars times the sum of... (answered by MathLover1,math_tutor2020)

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)

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

Suppose it costs $22 to roll a pair of dice. You get paid 3 dollars times the sum... (answered by stanbon)

A carnival game costs $3 to play. You draw 2 cards from a 12 card deck that has 4 red... (answered by Boreal)

if the payoff of rolling two dice is the sum of the upper face of the two dice, what is... (answered by Boreal)

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

Supposed a certain game is fair and costs $8 if you lose and has a net payoff of $4 if... (answered by greenestamps)

Supposed a certain game is fair and costs $5 if you lose and has a net payoff of $9 if... (answered by ikleyn)