Problem 1 Which is more likely: rolling a total of 9 when two dice are rolled or rolling a total of 9 when three dice are rolled?

Q: How many rolls would it take for 1,000 dice to be reduced to 500 dice? (Assume all the dice are…

A: Assume that all dice are 6-sided and unbiased.The objective is to find the number of rolls it would…

Q: a) A box contains 3 white cards and 2 black cards. Next to the box is a hat which contains 2 white…

A: According to Bartleby guidelines, only one question can be solved at one time. Please post other…

Q: ability that the sum of the di ability that the sum of the d

A: Two dice are rolled. The dice are indistinguishable.

Q: If two fair dice are thrown, what are the odds of obtaining a sum of 10?

A:

Q: i am not able to see the answer properly

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Use the following for problems 4 - 6. A pair of fair six-sided dice are rolled. 4. Find the…

A:

Q: The following information applies to problems 9 and 10. An urn contains 7 green and 3 red balls. 9.…

A:

Q: You and your friend are playing a dice game where you win a point if you roll a number that is…

A: The possible outcomes when a die is rolled are 1,2,3,4,5,6.

Q: 3. Someone rolled 100 dices(6 sided) on the table and got 200 spots in total. What would be the most…

A: Given that,No. of rolled Total number of spots

Q: Is it more, less, or equally likely that the sum after rolling 4 fair dice is 21 or that the sum…

A: Q. Is it more, less or equally likely that the sum after rolling 4 fair dice is 21 or that the sum…

Q: When playing the dice game 21's, if you were presented with the following scenario, how many dice…

A:

Q: If two dice are​ rolled, how many ways are the two numbers​ different?

A: Answer :- We know that dice has 6 number from 1 to 6  Two dice are rolled , then total outcomes =…

Q: 6. Problem 2.3. What is the probability of a large straight" when five dice are rolled? This is…

A: The probability shows how likely an event occurs.

Q: (c) Let A be the event that the sum of the two numbers tossed is 4 and B be the event that the sum…

A:

Q: A red six-sided die and a green six-sided die are tossed. In how many ways is it possible for the…

A:

Q: Task 2. What is the probability that in 12 000 throws of a dice we will get a six at most 1850…

A: We have given that  n=12000 , p=1/6 , q=5/6 X~Binomial(n=12000,p=1/6) X=we get a six

Q: Problem 6. A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that…

A: As a pair of dice is rolled total outcome possible  (1, 1), (1, 2), (1, 3), (1, 4) ,(1, 5), (1, 6)…

Q: If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 6 on…

A: # If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 6 on…

Q: Problem 1. If roll three fair dice, what is the probability that we get a total of 15?

A:

Q: If a pair of (fair) dice are thrown, what is the probability that the sum of the numbers shown is…

A: Given data isA pair of dice are thrownthen the out comes…

Q: Problem 2. You toss a coin 4 times, and record the result as a list, e.g. (H, H, H, H). 1. How big…

A: Suppose you tossed a coin 4 times, 1) Every time you toss a coin, there are two possibilities H or…

Q: to get the 7 macrostate?

A: here rolling two dice at at a time and add thier outcomes to get macrostate

Q: Problem 5 A random experiment consists of tossing a fair coin and rolling a fair six-sided die. a)…

A: As given, a random experiment consists of tossing a fair coin and rolling a fair six-sided die. It…

Q: How many possible outcomes are there if I toss a six sided die three times?

A: The General Multiplication Principle:If a task can be broken down into R consecutive steps, Step1,…

Q: Three different colored, eight-sided dice are rolled, and the numbers showing are recorded. How many…

A: There are three different colored dice The dice are eight-sided. The outcomes of the eight-sided die…

Q: How many possible outcomes would there be if four dice were rolled?

A: we know that if n dice are rolled than the possibleoutcomes are6×6×6×6×.......×6ntimes=6n

Q: 1. If two balanced dice are rolled, what is the probability that the sum of the two numbers that…

A:

Q: 1. Which of the following refers to an event with only one outcome? A. Complex Event B. Simple Event…

A: B. Simple EventExplanation:An event with only one outcome is known as a simple event or elementary…

Q: 3. My friend Ben brought me another of his "lucky dice". This time, he had a 20-sid die (sides…

A:

Q: Use the following for problems 7 & 8. A single fair six-sided die is rolled. 7. Find the probability…

A:

Q: Solve the following problems.  1. A bag contains 2 white balls, 4 black balls, and 6 red balls. One…

A: As per bartleby guideline expert have to answer first question only

Q: How many possible outcomes are there if I toss an eight sided die three times?

A: See solution below

Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

A: Since we answer up to three subparts of a problem, we'll be answering the first three sub parts…

Q: Problem (3): In a certain college town, 25% of the students failed Mathematics, 15% failed…

A:

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​, given that the…

A: Given data: The numbers of dice rolled are n=2. The expression for the total number of sample space…

Q: 11 broken lightbulbs in a box of 175 lightbulbs. A random sample of 4 lightbulbs is chosen ent. many…

A:

Q: If 2 six-sided dice are tossed, in how many ways can at least one of the dice come up a 5?

A: we have given that  If 2 six-sided dice are tossed, in how many ways can at least one of the dice…

Q: If two dice are rolled once at the same time, what is the probability that the sum of the dots…

A: Know that  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2)…

Q: n the gambling game "craps", a pair of dice is rolled and the outcome of the experiment is the sum…

A: (a)   List the sample space for the pair of the dice.   The sample space for the pair of the dice is…

Q: How many ways are there in getting a double when two dice are rolled?

A: When two dice are rolled the sample space S is as follows, S= { (1,1), (1,2), (1,3), (1,4), (1,5),…

Q: How many ways can you roll 2 dice so that the sum of the dots is either 7 or 11?

A:

Q: (v) A standard six-sided die is tossed twice. State the number of distinct outcomes if: (a) the sum…

A: It is an important part of combinatorial analysis . Extended version of the application of it has…

Q: Problem Problem List Next Problem uppose that you flip a coin 10 times. What is the probability that…

A: Given that  Number of trials n=10 Success of probability p =1/2=0.5 X~binomial (n,p)   nCx=…

Q: There are 10 balls in a box numbered from 1 to 10. We must pay $5 to play and draw 3 balls. If we…

A: Answering only (2) bit as that was mentioned in your question.  2. Here the case is without…

Q: If the odds of a horse winning a horse race are 2​:5​, then the odds against that horse winning the…

A: Given that, the odds of a horse winning a horse race are 2​:5 The probability of horse winning a…

Q: A bag of M&M's has 5 red, 6 green, 2 blue, and 4 yellow M&M's. What is the probability of randomly…

A: (1)   Obtain the probability of randomly picking a yellow M&M.   The probability of randomly…