If a gambler rolls two dice and gets the sum of 7, he wins $20. if he gets a sum of 4, he wins $40. the cost of playing is $14. what is the expectation of this game?

The expectation of this game is -$7.33

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 :

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die

rotation point l

step-by-step explanation: