Suppose you play a game with two 4-sided dice with sides numbered 1 through 4. If you roll a sum of 8 (face down), you win PHP50. If you roll anything else, you lose PHP 20. What can you expect to win or lose in this game?

Q: Two fair dice are rolled. Let X represent the number on the first die, and let Y represent the…

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Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Given,A twelve-sided die with sides labelled from 1 to 12 will be rolled once. Each number is…

Q: Find the probability of obtaining an even number or a number can be divided by 3 without remaining…

A: Probability is a branch of mathematics or statistics which is basically deals with the chances of…

Q: What are the odds against of getting a sum of 6 when rolling a pair of dice?

A: Solution

Q: If you roll two dice 20 times, how often should you get an odd number with the first and an even…

A: total outcomes =36

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: From the provided information, The die is twelve sided labelled 1 through 12. The total number less…

Q: On the planet Kudzu, the probability that an animal is blue is 0.20. The probability that the animal…

A: Here Given On Kudzu Probability animal is Blue=P(B)=0.2 And  Probability that animal is Blue given…

Q: Suppose you roll two six sided dice and add the results together. What are the odds that you will…

A: Suppose you roll two six sided dice and add the results together   The sample space would be :…

Q: Suppose that you have a bowl with 9 chips numbered 1 through 9  and assume you take out two chips,…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: you have 2 dice that are each 8 sided and fair. what is the probability that you see a total of 8…

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Q: Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is…

A: Answer is given below.

Q: If the two dice are rolled 135 times, predict about how many times a sum of 5 will be rolled.

A: In question, Given that the two dice are rolled 135 times. Then we'll find that approx in how many…

Q: six-sided die with sides labeled  1  through  6  will be rolled once. Each number is equally likely…

A:

Q: If you roll two six-faced dice together, you will get 36 possible outcomes. What is the probability…

A: The 36 possible outcomes are S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5)…

Q: Jessica rolls a 6-sided cube and flips a coin. What are the chances she will roll 4 and the coin…

A: Rolling a 6-sided cube Sample space Ω1=1,2,3,4,5,6 Number of elements in sample space nΩ1=6…

Q: Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let’s say, the…

A: Sample space for rolling a two six-sided dice: Ω1=1,1, 1,2, 1,3, 1,4, 1,5, 1,6,2,1, 2,2, 2,3, 2,4,…

Q: You roll two fair dice, one green and one red. Find P((5 on green die and 3 on red die) or (3 on…

A: The value of P((5 on green die and 3 on red die) or (3 on green die and 5 on red die)) is,

Q: From a set of bridge cards, 2 cards are drawn at random. What are the chances of getting an ace and…

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Q: Find the probability of getting a sum of 6 on two dice if the first die is already shows a 3.

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations…

Q: Two pair of dice are rolled. What is the probability that the sum of their faces will be equal to…

A: Given: Two pair of dice are rolled. To find : The probability that the sum of their faces will be…

Q: A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to…

A: There are 6 numbers on the die. So the sample size= 6   We can get less than 5 for the numbers 1, 2,…

Q: If two dice are rolled , find the probability that the sum of the die is 7 . probability that sum is…

A: There will be 36 possible outcomes when two dice are rolled.Out of these, there will be 6 such…

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Given that,A twelve-sided die will be rolled once.Each number is equally likely to be rolled.

Q: If two fair dice are rolled, find the probability that the result is either sum of 8 or sum is…

A: If two dice are rolled then the sample space obtained is as follows: Ω={1,1,1,2,1,3,1,4,1,5,1,6,…

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

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Q: indistinguishable

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Q: If two coins are flipped find the probability of getting (i) two heads and (ii) at least one head,

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Q: Claudia and ally are the two favorites to win an upcoming golf tournament. If Claudia is given 1:9…

A: Given data Claudia has 1:9 odds of winning ally has 2:17 odds of winning

Q: Suppose we roll two dice and record the result. What is the probability that the sum of numbers…

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Q: If a die is rolled 10 times in a row and the number 3 never lands face up, then the chance of…

A: If a single die is rolled then sample space is {1, 2, 3, 4, 5, 6} where each outcome has equal…

Q: Suppose a stick is randomly broken into three pieces. What is the probability that the three pieces…

A: Given that: A stick is randomly broken into three pieces. The objective is to find the probability…

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Solution: The twelve sided die is rolled the sample space S is  S = { 1,2,3,4,5,6,7,8,9,10,11,12} n(…

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: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Given data, A 12 sided die is rolled Then the sample space is S={1,2,3,4,5,6,7,8,9,10,11,12} What is…

Q: Suppose a dice is thrown thrice. What is the probability of getting the sum to be even given the…

A: Provided information is ;  a dice is thrown three times ; therefore  sample space(s) = { (1,1,1) ,…

Q: We have a loaded 6 sided die where probability of rolling a 1 is 1/3, probability of rolling 2…

A:

Q: When throwing the dice, if the number of points shown is 1,2,3, he wins 200 dinars, and if the…

A: Probability

Q: Two 6-sided dice are rolled and the difference between the two numbers is found Plareater than or…

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Q: Now suppose we only care about sum of the dice. What are the different outcomes and their…

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Q: A stick is broken into two at random; then the longer half is broken again into two pieces at…

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Q: There are three dice rolled at the same time. a. How many possible outcomes are there if the sum of…

A: Given that, three dice are rolled at the same time.

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

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: A twelve-sided die with sides labeled  1 through 12 will be rolled once. Each number is equally…

A:

Q: A child rolls two 6-sided dice. Which diagram can be used to determine all possible outcomes of the…

A: Given that: A child rolls two 6 sided-dice. The objective is to identify the tree diagram that…

Q: If a dart is thrown and hits the board, what is the probability that it will hit the shaded bull's…

A: Given that    A dart is thrown and hits the board. Here we have to find the probability that it will…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9 given that the sum…

A: Given that the sum is greater than 6.  So the sample space for this is: (1,6) , (2,5) , (2,6) ,…