Test The Game Below: Include experimental probability distribution chart, along with an expected value and bar graph, as well as simulated 100 trials and clearly describe how you simulated the 100 trials (attach proof).

Game: Ticketmaster

At the opening of the new movie theater, the owner decided to distribute a few free movie tickets and he designed a game based on a coin experiment.There are 4 doors in his theater and Player has to pass through all the four doors and person will get free movie ticket, but the condition is that each time when individual enters into door, individual has to flip the coin and they will win a tickets if all coins turned into heads that is getting all 4 heads.

Rules:

1. Individual will get a movie ticket only if he/she gets heads in each flip.
2. Individuals can flip a coin only once at each door.

Points: Free movie tickets

Materials:An unbiased coin, Movie ticket and a hall with 4 doors.

Expected value=2

Bar plot is provided in the explanation part and the probability of winning a movie ticket is very less, that is 0.0625.

Explanation:

At the opening of the new movie theater, the owner decided to distribute a few free movie tickets and he designed a game based on a coin experiment.

Game: There are 4 doors in his theater and Player has to pass through all the four doors and person will get free movie ticket, but the condition is that each time when individual enters into door, individual has to flip the coin and they will win a tickets if all coins turned into heads that is getting all 4 heads.

Rules:

Individual will get a movie ticket only if he/she gets heads in each flip.

Individuals can flip a coin only once at each door.

Points: Free movie tickets if individuals passed through all the doors.

Materials:

1. An unbiased coin.
2. Movie tickets
3. A hall with 4 doors..

Distribution of the game is binomial. Person wins the game if a head occurs at each door. Following are the possible outcomes if individual toss a coin 4 times.

H H A T H H A T T AAAAAAAA H H H T H T H T . TSum of P(x) 0.35 0.3 0.25 P(x] 0.2 0.0625 10.25 0.15 0.375 0.1 0.05 4