Gray Whale Interview Question: Toss two dies, your gain is t... | Glassdoor

Interview Question

Trader Interview

Toss two dies, your gain is the max of the two, what's the

  expectation? After tossing the first die, you can decide whether you will toss the second, what's your return?

Interview Answer

1 Answer


If you get the max of the two dies, then you should always toss the second die.

max=1, prob=1/36
max=2, prob=3/36
max=3, prob=5/36
max=4, prob=7/36
max=5, prob=9/36
max=6, prob=11/36

Expectation is 1/36+6/36+15/36+28/36+45/36+66/36=161/36

Arnie on May 17, 2012

Add Answers or Comments

To comment on this, Sign In or Sign Up.