I have an interview for a job coming up and they have asked me to bring in answers to a couple of conditional probability questions.
Would any of you guys be able to tell me your answer to the following questions so that I can double check my answer
1. You and your opponent have the goal of forcing the other guy to be the first to say '60'. You must announce numbers in ascending order. You can add to whatever number is said in increments of 1-10. You can choose to go first or second, and the person who goes first can begin with any number between 1 and 10. What is the perfect strategy for winning?"
2. one 2-headed coin with x fair coins in a jar, coin is picked at random and flipped 10 times, all heads: what is the probability that you flipped the biased coin).
Thanks for your help