Question

In: Math

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. What is the probability that the round will end in 5 rolls or fewer (not including the come-out roll)?

Solutions

Expert Solution


Related Solutions

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...
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?
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?
Roll two dice simultaneously once. Let A be the event that the sum of the two...
Roll two dice simultaneously once. Let A be the event that the sum of the two dice is 8 and B be the event that at least one of the dice is odd. a) Find P(A) and P(B). Express your answer as a FRACTION. b) Find P(A given B) and P(B given A). Express your answer as FRACTIONS. Are A and B independent? Explain. c) Find P(A and B). Express your answer as a FRACTION. d) Find P(A or B)....
So, roll a fair 6-sided dice once, and if the result is 1,2,3, or 4 then...
So, roll a fair 6-sided dice once, and if the result is 1,2,3, or 4 then toss a fair coin 3 times. If the first result is 5, 6, then toss a fair coin until two tails show up. Then, what is the expected value of number of heads? PLZ help me with this!!! THX soooooo much!
You roll 48 dice all at once. If you add up only the even numbers rolled,...
You roll 48 dice all at once. If you add up only the even numbers rolled, what is the chance that the sum will be 104 or more??
You roll two, fair (i.e., not weighted) 6-sided dice once. What is the probability that: 3a....
You roll two, fair (i.e., not weighted) 6-sided dice once. What is the probability that: 3a. The sum is 11 or more? (1 Point) 3b. The sum is 7? (1 Point) 3c. The sum is 6? (1 Point) 3d. Thesumis6or8? (1Point) 3e. The sum is less than 4? (1 Point) 3f. The sum is something other than 2, 7, or 11? (2 Points)
Throw a pair of fair, six-sided dice, over and over again, until either a 6 or...
Throw a pair of fair, six-sided dice, over and over again, until either a 6 or 10 comes up. What is the probability of event E, that 6 comes up first?
PYTHON CODING: “Roll” 2 dice 10,000 times keeping track of all the sums of each set...
PYTHON CODING: “Roll” 2 dice 10,000 times keeping track of all the sums of each set of rolls in a list. Then use your program to generate a histogram summarizing the rolls of two dice 10,000 times.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT