Gray Whale

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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?
Tags:
probability
Answer

Interview Answer

1 Answer

0

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

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