Fair price of a dice-product game
Roll two fair dice; the game pays you the product of the two faces in dollars - except if either die shows a 1, the game pays nothing. What is the fair price to play (the expected payout, in dollars, to four places)?
Show hints (2)+
- Independent dice: before voiding.
- Sum surviving products over all 36 pairs: - divide by 36, not 25.
Answer
Reveal answer →Final answer
11.1111 (± 0.001)
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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude