Quantitative Trading Intern

Began with Online assessment. Not too hard, asking basic probs and stats questions with written responses required. After that video interview with a trader was scheduled. No behavioural questions except asking me about a student fund trading position I was doing. Technical questions were about red and blue socks in a box, finding the expected number to draw certain pairs. Follow up question asked about how to maximise profit by betting on a biased coin if you gain +$1 for guessing the correct next flip and get -$1 for guessing incorrectly. Over 100 flips what is your EV and strategy if the bias follows a uniform distribution from 0 to 1 for heads.