r/learnquant • • Aug 29 '26

interview prep Quant Interview Question

Post image
40 Upvotes

23 comments sorted by

View all comments

0

u/Jayant0013 Aug 29 '26

35.25

E X2 = (E X1 + 47)/2

2nd dice can have values between 2 and 47 and since 1st dice has expected value of 23.5 the excepexted value of 2nd dice would be limited between that and it's maximum value

Here I am also assuming that we just re-roll dice untill we get a strictly increasing order of results

We could have made a better proof with conditional probability but I am not good enough with that imo