A player of a video game is confronted with a series of

Last updated: 2/13/2024

A player of a video game is confronted with a series of opponents and has an 80 probability of defeating each one Success with any opponent is independent of previous encounters Until defeated the player continues to contest opponents a What is the probability mass function of the number of opponents contested in a game b What is the probability that a player defeats at least two opponents in a game c What is the expected number of opponents contested in a game d What is the probability that a player contests four or more opponents in a game e What is the expected number of game plays until a player contests four or more opponents