The expectation of this game is -$7.33
<h3>Further explanation</h3>
The probability of an event is defined as the possibility of an event occurring against sample space.
Let us tackle the problem.
If a gambler rolls two dice and gets the sum of 7 , there are 6 ways to get the sum of 7 , i.e : ( 1,6 ) , ( 2,5 ) , ( 3,4 ) , ( 4,3 ) , ( 5,2 ) , ( 6,1 ) from total 36 sample spaces, then the probability is :
If a gambler rolls two dice and gets the sum of 4 , there are 3 ways to get the sum of 4 , i.e : ( 1,3 ) , ( 2,2 ) , ( 3,1 ) from total 36 sample spaces, then the probability is :
Because the gambler wins $20 when he gets the sum of 7 , and wins $40 when he gets a sum of 4 , then :
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die