Question

In: Statistics and Probability

This problem concerns the dice game craps. On the first roll of two dice, you win...

This problem concerns the dice game craps. On the first roll of two dice, you win instantly with a sum of 7 or 11 and lose instantly with a roll of 2,3, or 12. If you roll another sum, say 5, then you continue to roll until you either roll a 5 again (win) or roll a 7 (lose). How do you solve for the probability of winning?

Solutions

Expert Solution


Related Solutions

In the game of Craps, you roll two dice. When you bet on a “snake eyes”,...
In the game of Craps, you roll two dice. When you bet on a “snake eyes”, meaning a 1 on both dice, you win $30 for each $1 you bet. Otherwise, you lose your dollar. What is the probability of winning this bet? What is the expected value of making this bet? If you play this game 100 times, how much would you expect to lose?
Consider the experiment of rolling two dice. You win if you roll a sum that is...
Consider the experiment of rolling two dice. You win if you roll a sum that is at least 7 and at most 12. Find the probability of a win.
Write a C++ program to play the dice game "Craps". Craps is one of the most...
Write a C++ program to play the dice game "Craps". Craps is one of the most popular games of chance and is played in casinos and back alleys throughout the world. The rules of the game are straightforward: A player rolls two dice. Each die has six faces. These faces contain 1, 2, 3, 4, 5, and 6 spots. After the dice have come to rest, the sum of the spots on the two upward faces is calculated. If the...
Objective Make a function to serve as a Craps dice game simulator. If you are not...
Objective Make a function to serve as a Craps dice game simulator. If you are not familiar Craps is a game that involves rolling two six-sided dice and adding up the total. We are not implementing the full rules of the game, just a function that returns the value of BOTH dice and their total. Details In the function you create: Make a function that uses pointers and pass by reference to return THREE separate outputs (arrays are not allowed)....
Two players A and B play a game of dice . They roll a pair of...
Two players A and B play a game of dice . They roll a pair of dice alternately . The player who rolls 7 first wins . If A starts then find the probability of B winning the game ?
In the game of craps, a player (known as the shooter) rolls two fair six-sided dice....
In the game of craps, a player (known as the shooter) rolls two fair six-sided dice. The shooter immediately loses if the sum of the dice is 2, 3, or 12 and immediately wins if the sum of the dice is 7 or 11 on the first roll. If the sum is anything else (4, 5, 6, 8, 9, or 10), that number becomes the point and the shooter rolls again. The shooter now wins by rolling that same point...
In the game of craps, a pass line bet proceeds as follows: Two six-sided dice are...
In the game of craps, a pass line bet proceeds as follows: Two six-sided dice are rolled; the first roll of the dice in a craps round is called the “come out roll.” A come out roll of 7 or 11 automatically wins, and a come out roll of 2, 3, or 12 automatically loses. If 4, 5, 6, 8, 9, or 10 is rolled on the come out roll, that number becomes “the point.” The player keeps rolling the...
Let’s play a game! It costs you only $10 to play! Roll two dice. If you...
Let’s play a game! It costs you only $10 to play! Roll two dice. If you roll snake eyes (two 1’s), then I’ll give you $500. If you roll anything else, then I’ll give you nothing. Using expected value, decide if you should play this game!
Craps is a dice game in which the players make wagers on the outcome of the...
Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. 1) What is the lower class boundary of the "6" class? 2) Find the mean. 3) Find the standard deviation. 4) Find the z-score for snake eyes.
In Craps once the point is set, the shooter continues to roll the dice until either...
In Craps once the point is set, the shooter continues to roll the dice until either the point comes up (in which case the shooter wins) or a 7 comes up (in which case the shooter loses). At that time, the round ends. Suppose the point has just been set at 6. What is the probability that the round will end in 5 rolls or fewer (not including the come-out roll)? Suppose the point has just been set at 4....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT