SIG (Susquehanna) Interview Questions

How much would you pay for the option to reroll a die, given that you receive the dollar value of the number you roll, and can choose to reroll once if you wish?

You have 25 horses and a race track with 5 lanes. Each race can race at most 5 horses at a time, and you cannot use a stopwatch. What is the minimum number of races required to determine the fastest three horses?

A deck contains ten cards: two 10s, two Js, two Qs, two Ks, and two As. You are dealt five cards without replacement from the deck. Compute the expected number of pairs.

What is the expected number of fair coin flips required to get two consecutive heads (i.e., 'HH') for the first time?

What is the probability of obtaining 3 heads in a row when tossing an unbiased coin 5 times?

What is the probability of rolling two sixes with a pair of standard six-sided dice?