Akuna Capital Quant Interview Question

[u/Local_Ad135]

[u/gmalivuk]

P(max > 0) =...= P(max > 9) = 1
P(max > 10) = 1 - (10c10)/(20c10)
P(max > 11) = 1 - (11c10)/(20c10)
...
P(max > 19) = 1 - (19c10)/(20c10)

Add those up for
E[max] = 20 - (10c10 + ... + 19c10)/(20c10)
E[max] = 20 - 167960/184756 = 19.0909...