Expected Value of a Dice Game

Easy

brainteasers Goldman Sachs Jane Street

A casino offers a game: you pay $10 to roll two fair six-sided dice. If the sum is 7, you win $40 (net gain $30). If the sum is 11, you win $80 (net gain $70). For any other sum, you lose your $10. Should you play this game?

Multiple Choice

Yes, because the payouts for 7 and 11 are high enough to offset the losses Yes, because 7 is the most likely sum on two dice No, because the expected value per game is approximately -$2.22 No, because rolling a 7 or 11 is impossible with two dice

Correct!

Incorrect — try again next time!

Upgrade to Pro to unlock solutions and explanations

Expected Value of a Dice Game

Multiple Choice

Related problems