If you roll two balanced dice simultaneously and add the sum of the dots, which of the following is most likely?
(A) Getting a total of 6. (B) Getting a total of 7. (C) Getting a total of 8. (D) Getting a total of 9.
If you roll two balanced dice simultaneously and add the sum of the dots, which of the following is most likely? (A) Getting a total of 6. (B) Getting a total of 7. (C) Getting a total of 8. (D) Getti...
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
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...
#1) What is the probability of getting a sum 9 from two throws of a dice (4 sided)? Select one: a. 1/9 b. 1/8 c. 0 d. 1/12 #2) Two 4 sided dice are thrown simultaneously. What is the probability of getting two numbers whose product is even? Select one: a. 0.75 b. 0.375 c. 0.5 d. 0.6875 #3) Two 4 sided dice are tossed. The probability that a total score is a prime number is: Select one: a. 0.58...
What is the most likely outcome when we throw two fair dice, i.e., what is the most likely sum that the two dice would add to? Why? This problem can be solved by first principles. The probability P(E) for an event E is the ratio |E|/|S|, where |E| is the cardinality of the event space and |S| is the cardinality of the sample space. For example, when we throw a fair die, the event space is S = {1,2,3,4,5,6} and...
you roll two fair dice, once red and one green. What is the probability of getting a sum of 9?
Here is a version of the game of crap. First, you roll two well-balanced, six-sided dice; let x be the sum of the dice of the first roll. If x = 7, or x = 11 you win, otherwise you keep rolling until either you get x again, in which case you also win, or until you get a sum of 7 or 11 in which case you lose. Write a function that takes no input, and simulate the game...
Suppose you roll two fair 6-sided dice, and A is the event that both dice are even, and B is the event that the sum of the dice is 9 or more.Hint: 2.4, and the very first problem of this worksheet quiz.(a) Find P(A)(b) Find P(B)(c) Find P(A ∪ B)(d) Find P(Ac ∩ Bc)
Suppose you toss two 6 sided dice on a table. What is the most likely number to roll? Why? What is the probability of rolling a total of 4?
Problem 4. Two four-sided dice are rolled simultaneously. (a) Let X be the sum of the two rolls. Calculate the PMF and the expected value of . (b) Someone proposes to give you in dollars five times the amount of the sum X that you roll, if you pay A dollars in advance. What should be the amount A in order for you to expect to break even? (c) Repeat parts (a) and (b) for the case where X is...
The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values together. 2. Choose whether to roll the dice again or pass the dice to your opponent. 3. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your...