Q3 Consider the experiment of throming rwo fair dice, Let A be the etent that of sum of the dice sS, B be the event that sum of the dice is 5, C be the event that the first die is 3, D be the event hat sum of the dice is 4 and E be the event the second dice is 2. Are A&B, A&C, A&D, A&E. B&C, B&E, B&D, C&D, C&E and E&D independent or lependent?

Q: A pair of fair dice is rolled. What is the probability that the second die lands on a value that is…

A: A pair of fair dice is rolled.Sample space: S = { (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2)…

Q: Roll two fair dice. Each die has six faces. • Let A be the event that either a 3 or 4 is rolled…

A: Solution

Q: What is the probability of getting two tail if one dice is tossed?

A:

Q: If you roll 5 fair 6-sided dice, what is the probability that you only have even rolls 2, 4, 6

A: When a fair die is rolled, there are 6 possible outcomes. Any of these outcomes can occur. As the…

Q: If a pair of dice is rolled, what is the probability of a double? What is the probability of rolling…

A: Given A pair of dice is rolled

Q: If you roll 5 fair six sided dice, what is the probability that you only have even rolls (2, 4, 6)

A: Here, roll 5 fair six sided dice and find the probability that you only have even rolls (2, 4,6).…

Q: Are the two events in each scenario mutually exclusive or not? Explain. c) Rolling a sum that is…

A:

Q: dice are rolled and their up faces are noted. What is the probability both numbers are even given…

A: When two dice are rolled the total outcomes are 62=36 Let A be the event that sum is 4…

Q: Another game on The Price Is Right requires the contestantto spin a wheel with the numbers 5, 10,…

A: To find: The probability that the contestant spins 100 or 30. Given: The numbers on the wheel is…

Q: Q4: b) You have two fair dice, one white- and one blue, are tossed. Explain whether the following…

A: Given, two fair dice : 1 white and 1 blue

Q: Two fair dice are rolled. What is the probability that the sum or product of the two numbers rolled…

A: Given: Two fair dices are rolled. Probability that the sum or product of the two number rolled is…

Q: A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.If…

A: Real-world examples:Repetition not allowed: Drawing marbles from a bag without replacement. Once a…

Q: I have a bag with 5 fair dice. Two are 4-sided, two are 6-sided, and one is 12-sided. I reach into…

A:

Q: Twe dice are rolled once. What is the probability of getting a total of 7 or 11

A: The total possible outcomes in rolling two dice are…

Q: Juan has designed a second game "Dice Game". To play the game, a player must cast two dice. If the…

A: Note: Since the information is provided only for dice game, the answer is provided for first…

Q: Two fair six-sided dice are rolled. Find the probability of the event that the sum is (strictly)…

A: We can get a sum greater than 8 and doubles for the outcomes:  (5,5), (6,6) So 2 outcomes give the…

Q: Two fair six-sided dice are rolled. Let A = the event that the dice add to 4, and let C = the event…

A:

Q: Two dice are rolled. What is the probability that the sum of the dice is larger than 8, given that…

A: Two dice are rolled, The sample space for the sum of the numbers showing up on the two dice is…

Q: Suppose you roll a pair of dice. Let A be the event that you observe an even number. Let B be the…

A: Set A contains {2,4,6,8,10,12) Set B contains {8,9,10,11,12} Let S contain all the events…

Q: In rolling 12 dice what is the probability of getting 1, 2, 3, 4, 5 and 6 point exactly twice

A: Probability  is the branch of mathematics concerning numerical descriptions of how likely an event…

Q: What is the probability that the sum of the numbers on two dice is even when they are rolled What is…

A: Answer:- If two dice are rolled, than number of event can be  62  =36.  Sample space  =  {(1, 1),…

Q: A fair dice is rolled and the incoming face of the dice is recorded. Events A, B A = {dice greater…

A:

Q: When a die is rolled, each of the 6 faces is equally likely to come up. A deck of cards has 4 suits…

A:

Q: 8. Let P(A) = .35 and P(E)= .44. Also, events A and E are: mutually exclusive. Find a. P(ANE)…

A: Answer: From the given data, P(A) = 0.35 P(E) = 0.44 Events A and E are mutually exclusive

Q: If two fair dice are rolled what is the probability that a total showing is more than three

A: The objective of this question is to find the probability that the sum of the numbers on two dice is…

Q: Dice A has the sides 2, 2, 4, 4, 6, 6 and Dice B has 1, 3, 1, 3, 1, 3. What is the probability that…

A: It is given that the sides of Dice A is 2, 2, 4, 4, 6, 6 and the sides of Dice B is 1, 3, 1, 3, 1,…

Q: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that…

A: Given data: A pair of dice is tossed creating a sample space of N = 36. The sample space consists of…

Q: A spinner is divided into 4 equal sections. The 4 sections are color red, green, orange, and blue.…

A: 1) The spinner is divided into four equal sections with different colors. The chances of spin on any…

Q: i roll three ordinary 6 sided dice what is the probability of getting 5 on one of the dice and at…

A: Given, We have rolled 3 fair dices.  The probability of getting 5 on one of the dice and at least…

Q: 2. Two events A and B are mutually exclusive with probability (A)=0.5 and probability (B)=0.4 Find…

A: Given: A and B are mutually exclusive events.

Q: Suppose two dice are rolled. Let A be the event that the sum ofthe two dice is 7. Find an event B…

A: Given: Two dice are rolled. A is the event that the sum of the two dice is 7. Possible outcomes when…

Q: 26 sided dice are rolled what is the probability that the sum of two numbers on the dice will be…

A:

Q: Let E be the event where the sum of two rolled dice is greater than 99. List the outcomes in Ec.

A: Given that  Roll 2 dice  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: Question 6 Given two events, A and B, with P(A)=,7 and P(B)= .2, find P(AnB) if you also know that.…

A: Reviewing information, P(A)=0.7 P(B)=0.2

Q: Yahtzee! Find the probability of getting a 5 of a kind when rolling five dice

A:

Q: P(CIA)= P(C'JA')= (Simplify your answer.) (Simplify your answer)

A:

Q: Two fair 6-sided dice are rolled. What is the probability that the sum of the two dice is either 8…

A: From the provided information, Two fair 6-sided dice are rolled. Total outcomes = 6 × 6 = 36