I answered questions from set A and was correct 64% of the time. Every time I was incorrect I had to answer a different set of questions (set B) and of these I was correct 66% of the time. When I was incorrect with a question from set B I had to answer a question from set C of which I was correct 70% of the time.
I was wondering what the probability of getting all three questions wrong is?
How many questions would I get correct from set A,B and C before I got all three wrong (on average)?
How many times would I expect to get all three answers wrong if I answered 1000 questions from set A?
Thanks so much for your help!