Answer:
10$, with a probability of winning of just 11%
Step-by-step explanation:
If you have two dices, you can get 36 possible different results, and there are 4 different combinations that can get you a 5:
Result in Dice #1 Result in Dice #2 Total on dice
1 4 5
2 3 5
3 2 5
4 1 5
The probability of getting a five is therefore 11% (4/36 = 0.11 = 11%).
The expected payout if you win is $10 because the question says that you will play till you win and then stop playing, however, the probablity of winning is low, 11%, and that must be taken into account.