Question
In: Advanced Math
3) If you have a 40% probability of winning at a game of roulette, how many...
3) If you have a 40% probability of winning at a game of roulette, how many games can you expect to win after playing 30 games?
4) Calculate the variance of the problem above.
5) If Sarah rolls a 6-sided number cube, how many times can she expect to roll a 4 if she plays 18 games?
Solutions
Colby Messinger answered 8 months agoRelated Solutions
In the casino game roulette, the probability of winning with a bet on red is p...
In the casino game roulette, the probability of winning with a
bet on red is p = 17/38. Let Y equal the number of winning bets out
of 1000 independent bets that are placed. Find P(Y > 500),
approximately.
Show all your work.
Outcomes in roulette. One game that is popular in many American casinos is roulette. Roulette is...
Outcomes in roulette. One game that is popular in many
American casinos is roulette. Roulette is played by spinning
a ball on a circular wheel that has been divided into
38 arcs of equal length; these bear the numbers 00, 0, 1,
2, . . . , 35, 36. The number on the arc at which the ball
comes to rest is the outcome of one play of the game. The
numbers are also colored in the following manner:
Red:...
The probability of winning on an arcade game is 0.678. If you play the arcade game...
The probability of winning on an arcade game is 0.678. If you
play the arcade game 24 times, what is the probability of winning
no more than 12 times? (Round your answer to 3 decimal places, if
necessary.)
For this project, you will analyze the famous casino game, Roulette. In the game of Roulette,...
For this project, you will analyze the famous casino game,
Roulette. In the game of Roulette, there is a wheel consisting of
38 numbers: 18 black numbers, 18 red numbers, and 2 green numbers
(0 and 00). The wheel is spun and a ball is released into the
wheel. As the wheel comes to a stop, the ball will land on one of
the numbers. A player will place their bet before the wheel is
spun. A player can make...
The game of roulette is popular in many casinos around the world. In Las Vegas, a...
The game of roulette is popular in many casinos around
the world. In Las Vegas, a typical roulette wheel has the numbers
1–36 in slots on the wheel. Half of these slots are red, and the
other half are black. In the United States, the roulette wheel
typically also has the numbers 0 (zero) and 00 (double zero), and
both of these are on the wheel in green slots. Thus, there are 38
slots on the wheel. The dealer spins...
At the Statsville County Fair, the probability of winning a prize in the basketball toss game...
At the Statsville County Fair, the probability of winning a
prize in the basketball toss game is 0.1.
a) Show the probability distribution for the number of prizes
won in 8 games (round to 6 decimal places).
b) If the game will be played 500 times during the fair, how
many prizes should the game operators keep in stock?
(14%) Calculate for the game of craps the probability of (7%) Winning in the 5th throw....
(14%) Calculate for the game of craps the
probability of
(7%) Winning in the 5th throw. Show clearly
how you derive the formula; the formula itself; the
fractions p/q such as say 125/216, and also the decimal
expression to 4th significant digit such as say
0.08124.
(7%) Losing in the 5th throw. Show clearly
how you derive the formula; the formula; the fractions p/q such as
say 73/216, and also the decimal expression to 4th
significant digit such as say...
(14%) Calculate for the game of craps the probability of (7%) Winning in the 5th throw....
(14%) Calculate for the game of craps the
probability of
(7%) Winning in the 5th throw. Show clearly
how you derive the formula; the formula itself; the
fractions p/q such as say 125/216, and also the decimal
expression to 4th significant digit such as say
0.08124.
(7%) Losing in the 5th throw. Show clearly
how you derive the formula; the formula; the fractions p/q such as
say 73/216, and also the decimal expression to 4th
significant digit such as say...
You play a game that has the following payoffs: (25 pts) 35% probability of winning $1,000...
You play a game that has the following payoffs: (25 pts)
35% probability of winning $1,000
35% probability of losing $1,500
30% probability of winning $550
Use the information above to answer the following questions:
a) What is the expected value of playing the game? (5 pts)
b) Would a risk neutral person play this game? Why or why not?
(5 pts)
c) What level of risk tolerance (e.g. risk seeking, risk averse,
risk neutral) must a person have to...
Assume that the Gamecocks basketball team has a probability of 0.70 of winning a game against...
Assume that the Gamecocks basketball team has a probability of
0.70 of winning a game against any opponent, and that the outcomes
of its games are independent of each other. Suppose during the
basketball season it will play a total of 30 games. Let X denote
the total number of games that it will win during the season.
(a) Write down the formula for the probability mass function
(pmf) (p(x)) of X. Is your pmf the binomial pmf?
(b) Use...
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