Question

A boxer has, numerous times, bitten an opposing player during a boxing match. If he bites someone again, he will be banned from playing. In any match, the probability he bites an opponent is 0.20. Let the random variable A be the number of matches from now until the boxer bites an opponent, and is subsequently suspended.

a) Write out the probability mass function for A.

b) What is the probability that the boxer bites someone in the third match from now?

c) If the boxer promises not to bite anyone in the next six matches, what is the probability that he will last more than 10 matches without biting an opponent?

Answer 1