Double Dice 2
You go to a school fair. And right away you are faced with a competition,
You need to roll two dice and add it up. The prize table is below:
- 75p to play
- 2 =£5.00
- 3 =£1.50
- 4 =£0.75
- 5 =£0.00
- 6 =£0.00
- 7 =£0.00
- 8 =£0.00
- 9 =£0.00
- 10 =£0.75
- 11 =£1.50
- 12 =£5.00
Should you not play (if you want to make a profit)?
Inspiration Double Dice
Bonus: How much should you win on average?
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1 solution
There is a 1/36 chance of getting 12 or 2, a 2/36 chance of getting 3 or 11 and a 3/36 chance of getting 10 or 4.
If we multiply the winnings and probabilities we get 10/36+6/36+4.5/36=£0.56944...
This is less than the £0.75 you pay to play so you should not play.