Answered 2/3 Questions on Top Trading firm Interview

I just had an interview at a tier 1 trading firm. The interviewer asked 3 probability/expected value questions for me to solve. I was unable to solve the first one. But I was able to solve the next two(made slight errors but fixed them). What are my chances of going to next round? Do they expect you to solve all the problems?

 

Probably still have a decent chance? No one else on this forum was in the room with you guys so I'm not sure what kind of answer you're expecting here really.

 

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