Question

In: Statistics and Probability

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: 1 3 5 7 9 12 14 16 18
19 21 23 25 27 30 32 34 36
Black: 2 4 6 8 10 11 13 15 17
20 22 24 26 28 29 31 33 35
Green: 00 0
Players may place bets on the table in a variety of ways,
including bets on odd, even, red, black, low (1–18), and high (19–36) outcomes. Consider the following events (00
and 0 are considered neither odd nor even):
A: {Outcome is an odd number}
B: {Outcome is a black number}
C: {Outcome is a high number}

Find:
a.P(A/B)
b.P(B/C)
c.P(C/A)

Solutions

Expert Solution


Related Solutions

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...
In the popular American game of roulette, the roulette wheel has 38 spaces that are numbered...
In the popular American game of roulette, the roulette wheel has 38 spaces that are numbered 0, 00, and 1 through 36, 0. Find the probability of getting the following: a) A number that is less than 15, not counting 0 and 00; b) A number that is a multiple of 3 or 5, not counting 0 and 00; c) An odd number that is less than 15, not counting 0 and 00; d) A number that is between 1...
Roulette is one of the most common games played in gambling casinos in Las Vegas and...
Roulette is one of the most common games played in gambling casinos in Las Vegas and elsewhere. An American roulette wheel has slots marked with the numbers from 1 to 36 as well as 0 and 00 (the latter is called "double zero"). Half of the slots marked 1 to 36 are colored red and the other half are black. (The 0 and 00 are colored green.) With each spin of the wheel, the ball lands in one of these...
Task: Craps is a popular game played in casinos. Design a program using Raptor Flowcharts to...
Task: Craps is a popular game played in casinos. Design a program using Raptor Flowcharts to play a variation of the game, as follows: Roll two dice. Each dice has six faces representing values 1, 2, 3, 4, 5, and 6, respectively. Check the sum of the two dice. If the sum is 2, 3, or 12(called craps), you loose; if the sum is 7 or 11(called natural), you win; if the sum is another value(i.e., 4, 5, 6, 8,...
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...
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?
STRAIGHT FROM THE BOOK Roulette In the casino game of roulette there is a wheel with...
STRAIGHT FROM THE BOOK Roulette In the casino game of roulette there is a wheel with 19 black slots, 19 red slots, and 2 green slots. In the game, a ball is rolled around a spinning wheel and it lands in one of the slots. It is assumed that each slot has the same probability of getting the ball. This results in the table of probabilities below. Fair Table Probabilities   black     red     green   Probability   19/40 19/40 2/40 You watch the...
2. In a roulette game, the ball is equally likely to fall in any one of...
2. In a roulette game, the ball is equally likely to fall in any one of the 38 slots. You will bet on 4 numbers. A roulette bet on 4 numbers has a payoff of 8:1. You have doubled your bet from $5 to $10.      (a) Show the probability distribution of the $10 bet as a table; (b) Graphically, show how the probability distribution of the doubled bet is related to the original bet of $5; (c) Compute the...
Ex. 2.40 European roulette. The game of European roulette involves spinning a wheel with 37 slots:...
Ex. 2.40 European roulette. The game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. Gamblers can place bets on red or black. If the ball lands on their colour, they double their money. If it lands on another colour, they lose their money. (a) Suppose you...
In the game of roulette, there is a wheel with 37 slots numbered with the integers...
In the game of roulette, there is a wheel with 37 slots numbered with the integers from 0 to 36, inclusive. A player bets $3 and chooses a number. The wheel is spun and a ball rolls on the wheel. If the ball lands in the slot showing the chosen number, the player receives $3 plus 100$. Otherwise, the player loses the $3 bet. Assume that all numbers are equally likely. Determine the variance of the gain or loss per...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT