Lyft interview question.

(a) You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning?

(b) In part (a), instead of the sequence HH or TH, we now consider the sequence HHT or HTT. Your friend wins if HHT shows up first. What is the probability of you winning?

Lyft interview question. (a) You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning? (b) In part (a), instead of the sequence HH or TH, we now consider the sequence HHT or HTT. Your friend wins if HHT shows up first. What is the probability of you winning