math Trosset question numbers refer to the hardcover tertbook. Show working. You may work with others,...
Show up your work 5. A six-sided dice is loaded in a way that each even face is twice as likely as cach odd face. All even faces are equally likely, as are all odd faces. Construct a probabilistic model for a single roll of this dice. i.c. construct a table (or a rule) that lists all the possible outcomes and the probability associated with each. Find the probability that, on a single roll, the outcome is at least 3....
Suppose that you flip five fair coins and roll three fair dices at the same time and all the events are independent. (a) What is the probability that exactly two coins land heads up and one dice shows a six? (b) What is the probability that at least four coins land heads up and two dices show a number less than three? (c) What is the probability that the total number of heads is an even-number and the addition of...
If you roll two six-sided dice, what is the probability of obtaining the following outcomes? a)2 or 3 b) 6 and 4 c) At least one 5 d) Two of the same number (two 1s, or two 2s, or two 3s, etc.) e) An even number on both dice f) An even number on at least one die and please show how you got the answers ex. P(something) = (1/2)*(1/3) = (1/6)
If you roll two six-sided dice, what is the probability of obtaining the following outcomes? a)2 or 3 b) 6 and 4 c) At least one 5 d) Two of the same number (two 1s, or two 2s, or two 3s, etc.) e) An even number on both dice f) An even number on at least one die and please show how you got the answers ex. P(something) = (1/2)*(1/3) = (1/6)
I need all answers where the number is not already filled in please A normal six-sided die has the following (discrete) probabilities: Number Probability 1 1/6 1/6 1/6 1/6 1/6 1/6 What is the expected value of a single roll of the die? 3.5 What is the variance of a single roll of the die? What is the average of the numbers on the die? 3.5 A six-sided die is rigged to have the following probabilities: Number Probability 0.05 0.09...
Thank you 24. A better model for two indistinguishable fair dice? You may be uncomfortable with the sample space given in class for the possible outcomes of the roll of a pair of fair dice because when dealing with two dice you cannot, or at least you do not, distinguish between them. Thus for example, the two outcomes (1,3) and (3,1) should perhaps be considered as the same outcome. This argument leads to the following 21-member sample space: (23>)A56.6 (2,2)...
Please answer only if your answer is fully sure, otherwise please don’t answer the question leave it for a capable personal. PLEASE!! Don't copy incorrect answers from online. 3. Consider rolling (independently) one fair six-sided die and one loaded six-sided die. Let Xi and X2 denote, respectively, the number of spots from one roll of the fair die and one roll of the loaded die. Suppose the distribution for the loaded die is 16 Pr(X,-5) = Pr(X2 = 6) =...
Assume you roll two 4-sided dice numbered discretely from one to four. What is the probability of rolling a total of five? Show work
I want help to solve this question (3) A fair die is rolled twice, independently. (a) Consider the events: A = "the first number that show up is a 6"| B = "the sum of the two numbers obtained is equal to 7" C=" the sum of the two numbers obtained is equal to 7 or 11“ (i) Calculate P(BIC) (ii) Calculate P(A|B) (iii) Are A and B independent events? (b) Considering rolling two dice. Knowing that an even number...
Please show ALL work for my understanding and upvote. THANK YOU!! Two fair dice are tossed. One die is red and one die is green. Calculate the probability that the sum of the numbers on the two dice is an odd number given that the number that shows on the red die is larger than the number that shows on the green die.