Question

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?

Answer 1

Since one dice has 6 numbers
You would have a 2/6 chance or 1/3
You paid $3 so if you rolled both number you would make $10. Then you would have to subtract the cost of $3 from that. So you could win $7. Not sure if you were using on one or 2 dice to roll. You would just count all the numbers on both dice 12. Then you would have a 4 in 12 chance. 4/12 or 1/3 chance.