Binomial Distribution Problem
Matt has a special coin where, when tossed, heads comes up 62% of the time. He plays a gambling game with Roy. Each time the coin is tossed, if it comes up heads, Roy pays Matt $500; else if it comes up tails, Matt pays Roy $500. The coin is tossed 100 times.
What is the probability that Matt comes out ahead more than $9,000?
I assume you would use a binomial calculator where p=.62, n=100, k=18(after dividing 9000/500).. But I'm not sure if that is correct since if it comes up tails Matt pays $500. So in that case, he is not just gaining money.. he also loses money. Is this correct?