SOLUTION: A game consists of rolling a pair of dice. If the sum is either 6,7 or 8 you win $5.00 otherwise you win $1.00. Find the expected value for this game. Show your calculations in d

Question 574452: A game consists of rolling a pair of dice. If the sum is either 6,7 or 8 you win $5.00 otherwise you win $1.00.
Find the expected value for this game. Show your calculations in detail.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A game consists of rolling a pair of dice. If the sum is either 6,7 or 8 you win $5.00 otherwise you win $1.00.
Find the expected value for this game. Show your calculations in detail.
----
P(6 or 7 or 8) = (5+6+5)/36 = 16/36 = 4/9
----
P(other) = 5/9
----
E(x) = (4/9)5 + (5/9)1 = 25/9 = $2.78
=========================================
Cheers,
Stan H.
RELATED QUESTIONS
A certain game consists of rolling a single fair die. If a four or five comes up,... (answered by math_helper)

Suppose it costs $6.00 to roll a pair of dice. You get paid the large number in dollars... (answered by Boreal)

the carnival has come to town, and lucky Louie has once again set up his pavilion.he... (answered by stanbon)

Cost to play the game is $3.00 You will roll a single die. If you roll a 5 or a 6 you... (answered by ikleyn,Boreal)

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)

In a dice game, you roll a dice once for a $5 wager. You win $8.00 for rolling a 3 or a... (answered by Edwin McCravy)

could you please help me with my probability assignment. I am having troubles answering... (answered by stanbon)

5. In a manufacturing process for ball bearings, the mean diameter is 5mm with a standard (answered by Boreal)

In the carnival game "chuck-a-luck," you pick a number from 1 to 6 and roll 3 dice in... (answered by stanbon)