Hello, I am lost with the following problem.
Consider two players, player A and player B, in a game that involves tossing a (not necessarily fair) coin with such that A gains one dollar when a head occurs and B gains one dollar if a comes up. Assume that player A needs while player B needs more dollars to win the game (both and are non-negative integers)
Let be the event that heads occur before tails. occurs if and only if there are at least heads in the fi…rst trials. Explain why this reasoning is correct. Then use the binomial distribution to write an expression for
I know it is a very long and wordy problem, any hint will be appreciated, Thanks.