On a roll of two dice, Tom bets the sum will be 5. Henry bets the sum will be 8. Who has a better probability of winning the bet?
On a roll of two dice, Tom bets the sum will be 5. Henry bets the...
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
If you roll two dice and find their sum, what is the probability of the sum being even or greater than 8?
Exercise 4.8. Dice. You roll two dice. Let A belthe event that the sum of the dice is an even number. Let B be the event that the two results are different. If B has occurred, what is the probability A has also occurred?
9. In the casino dice game Craps, players make wagers on a sequence of rolls of a pair of dice. A sequence of rolls starts with the "shooter" making an initial roll of two dice called the "come-out” roll. If the sum of the dice on the initial roll is 7 or 11 then a player with a bet on the Pass Line wins. If the initial roll results in a sum of 2, 3, or 12 ("craps") then a...
Question 5: Roll two fair dice and let X be the sum of the two numbers faced up. a. Find the probability distribution of X . b. What is the expected value of X? c. What is the variance of X ?
Roll 10 dice. Find probability sum of dice is 42. (dice are 6-sided. Min roll = 10. Max roll = 120.) (number of possible rolls = 6^10 = 60466176) = s^n number of favorable rolls = number of ways dice add to 42 [(number of favorable rolls)/(number of possible rolls)] = [Probability sum is 42] You must find number of favorable rolls. Given number of dice(n), sides(s), and sum of roll (r) as n = 10, s = 6, and...
I roll 5 dice. What is the probability of having a sum of 26 and that one of the dice is a 1?
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
5. What is the correct set notation for the event that "the sum of the two dice is not less than 5 if at least one die lands with 3 facing up"? 6. Calculate the probability that the sum of the two dice is not less than 5 if at least one die lands with 3 facing up. 7. Are A and B independent? Explain your reasoning. Use for Questions 1-7: Hector will roll two fair, six-sided dice at the...
We roll 2 dice and sum the numbers on the faces. a) What is the probability that we roll a 5? b) What is the probability that we roll a 2 or a 3? c) What is the probability that we roll at least a 10? d) What is the probability that we roll at most a 5? e) What is the probability that we roll an even sum? f) What is the probability that we roll either an even...