See is events are overalapping or not
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You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? d. Are A and B independent events?
If you roll two dice and find their sum, what is the probability of the sum being even or greater than 8?
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?
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?
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...
20.21.24.25 are dice 16. Suppose you roll two fair dice. Give an example of two independent events. Given an example of two disjoint events ' (AMB) 74 73. 17. Under what circumstances could two events be both disjoint and independent? 18. Suppose that there are 10 sodas in a cooler: 7 regular and 3 diet. What is the probability that 2 diet sodas are selected at random? What is the probability that 2 diet sodas are selected given at least...
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? Tom Henry The Probability of each sum is the same.
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...
11 Suppose that we are rolling a pair of fair dice till getting a sum of 4 or less. Let X be a random variable representing the number of rolls that we need to make. Calculate P(X> 3) a) 0.5787 b) 0.6944 c) 0.0046 3) None of these
You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 7? (Enter your answer as a fraction.) 1 (b) What is the probability of getting a sum of 11? (Enter your answer as a fraction.) 2 (c) What is the probability of getting a sum of 7 or 11? (Enter your answer as a fraction.) Are these outcomes mutually exclusive? Yes No