For problem choose what type of problem it is and solve using the binomial, geometric, or Poisson distribution.

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. The player continues to confront opponents until defeated.

a) what is the probability mass function of the number of opponents confronted 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 confronted in a game?

d) what is the probability that a player confronts four or more opponents in a game?

e) what is the expected number of game plays until a player confronts four or more opponents in one sitting?

My son plays for the Hooks and his average is .333. Therefore I am going to assume the probability of him getting a hit is .333 for each time he bats. In a recent game he batted three times.
What was the probability of him getting at least one hit?
What was the probability of him getting two hits in the game?
What was the

Al, Bob and Carlos are playing a silly game. Al flips a coin. If he gets heads, the game ends and he wins. If not, Bob flips the coin. If he gets heads, the game ends and he wins. If not, Carlos flips the coin. If he gets heads, the game ends and he wins. If not, the coin is returned to Al and the process begins again.

A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2. What are the odds that you, the gambler, would win the game? What is the probability that you would win the game?

At the end of a basketball game, a team is down by 1 point. As the last play, a player from that team throws a three-point shot that misses, but the player is fouled and he gets to take 3 free throws (each worth 1 point) to end the game. On any given free throw, the probability that the player makes the shot is twice as large as

In the game of Russian roulette, one inserts a single bullet into the chamber of the drum of a revolver, leaving the other five chambers of the drum empty. One then spins the drum and pulls the trigger.
a) What is the probability of being still alive after playing the game N times?
b) What is the probability of surviving

1) Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the teams is stronger than the other and wins each game with probability 0.6, independant of the outcomes of the other games. Find the probability that the stronger team wins the series in exactly i gam

How would video world evaluate each of these we need to briefly explain the answer we use.
A- An individual video arcade within a chain of video arcades
B - A snack bar within one of the companys arcades
C - D particular videogame within one of the companys arcades
D - Security officers at each arcade location
How woul

Think of your favorite casino game (craps, black-jack, roulette, etc) and analyze the probabilities of a few different outcomes. For example what is the probability of getting three straight craps (seven) in the game of craps?

Consider a seven-game world series between team A and B, where for each game
P(A wins)=0.6
a) Find P(A wins series in x game)
b) You hold a ticket for the seventh game. What is the probability that you will get to use it? .answer 0.2765
c) if P(A wins a game)=p, what value of p maximizes your chance in b)?answer p=1/2