1. Consider Rolling a Fair six sided Dice with sides of 1 through 6. Consider rolling this dice 70 times. 2. Consider Rolling a Fair six sided Dice with sides of 2, 3, 3, 4, 4, 5 (so replace the 1 & 6 with 3 & 4). 3. Explain why the answers are different in 1 & 2

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: For 8 TL a player can roll a pair of dice once. If the player gets a double, he is allowed to choose…

A: Given: If we rolled pair of dice then,

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: If you roll a 6-sided die 5 times and get the result"1,1,1,1,1"can you conclude whether the die is…

A: 6 sided die roll 5 times and get result 1,1,1,1,1,1

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: Suppose that a pair of dice are thrown.  Let A = “the first die is a 3”, let B = “the sum of the…

A: Given that  Pair of dice rolled  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4)…

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 die is rolled.Find the number of possible outcomes. а. 8 b. 6 36 C. d. 4

A: b. 6

Q: Use the following information to answer the next three questions. A bag contains five different…

A: As per the question we have A bag with 5 different colored balls Red, White, Blue, Yellow and Green…

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: On a roulette wheel, half of the slots numbered 1 through 38 are red and half are black. Two slots,…

A: number 1 through 38  : half are red and half are blacknumber 0 and 00 are green Therefore there are…

Q: Suppose you play a game with two 4-sided dice with sides numbered 1 through 4. If you roll a sum of…

A:

Q: 2. Determine whether the second scenario would be dependent or independent of the first scenario.…

A: Independent events are those in which outcome of one event doesn't affect the probability of the…

Q: Give the probability for each of the following totals in the rolling of two dices: 1, 2, 5, 6, 7, 10…

A:

Q: players compete against by roming dice, Tace Alphonso's die has an 8, and the other five faces are…

A:

Q: For a 13 sided dice the probablity of rolling 5 is. Write the answers upto 2 decimal.

A: From the given information, number of sides that the given dice consists n(S) = 13. The points on…

Q: to get the 7 macrostate?

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

Q: 11. In the game of Craps a player wins by rolling a sum of 7 or 11 with two dice. Christian played…

A:

Q: A bag contains four different balls colored Red, White, Blue, and Green. You cannot see into the bag…

A: There are four balls in the bag and two balls are selected at random without replacement.

Q: n(A ∩ B)

A: Two dice are rolled. The sample space  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

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: Tossing a coin three times Rolling a yellow and a red cube Choosing a book to read from 7 fiction…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: What is the probability that on a roll of two (normal, six-side) distinguishable dice the sum is at…

A: Given that the sample size of a dice is 36.

Q: How many different outcomes are possible for 6 rolls of a die?

A: From the provided information, A die is rolled 6 times.

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

A:

Q: 3. Three dice is thrown. a. How many different outcomes are possible? b. If you picked a certain sum…

A: Three dice :  For one dice there is 6 possible outcomes  :  {1,2,3,4,5,6}  Different possible…

Q: indistinguishable

A:

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

A: See solution below

Q: Task 8. From the set {0,1,2,3,4,5,6,7,8,9 } we randomly draw three digits without returning.…

A: Given the set has following data points =0,1,2,3,4,5,6,7,8,9 a) The even numbers from the set are…

Q: Station 4: Dice Wars - Instructions "EFFERVESCENT" roll two six-sided dice and add the outcomes to…

A: Given that  Roll two six sided dice

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: Assume you are rolling two​ dice; the first one is​ red, and the second is green. Use a systematic…

A: Given: You are rolling two dice. The first die is red, and the second die is green.

Q: 2. Jeremy spun the spinners, shown below, twice. R. Which could be possible outcomes? A. RP, BW B.…

A: We find the possible outcome from given option.

Q: a. If a coin is tossed nine ​times, how many different outcomes are​ possible? b. If a four​-sided…

A: Given a. If a coin is tossed nine timesb. If a four-sided die is tossed nine

Q: We roll 10 different dice, each of which has 12 sides with the numbers 1 through 12 showing on them.…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: You roll a 12-sided die. Let A = {8, 9, 11} and B = {4, 7, 8, 11, 12). Find the following. S = {…

A: Given,You roll a 12-sided die.Let A = {8, 9, 11} and B = {4, 7, 8, 11, 12}

Q: S A and B throw with three dice; if A throws 14, find B's chance of throwing a higher number. Salud…

A: