American Express Interview Question | Casino

Question

The rules of a casino are simple, you will get 3 dices to roll and win $15 every time it lands on 1. You are allowed to play until you win and then stop. What will be your expected payout in the scenario?

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Dhruv2301 55 years 2 Answers 978 views Great Grand Master 0

Answers ( 2 )

  1. anmol
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    It’s $15. You win and fly.

  2. sahuprerana301
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    The probability that we will have 1 in 1st roll=1/6 ——- return =15
    The probability that we will have 21in 2nd roll=5/6*1/6=5/36 ——- return =15
    The probability that we will have 1 in 1st roll=5/6*5/6*1/6=25/216——- return =15
    Hence Expected return = 1/6*15+5/36*15+25/216*15 = approx.= $6.94

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