Three fair, standard six faced dice of different colors are rolled. In how many ways can the dice be rolled such that the sum of the numbers rolled is 10?

Q: what is the possible outcomes in tossing a coin 3 times?

A: Given :  Tossing a coin 3 times

Q: How can you determine if you need to use a combination or permutation to count the number of…

A: When we consider the arrangement of r distinct objects from n objects, we will use Permutation. Then…

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

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Q: In a class of 49 students 16 have black hair, 12 have brown hair, 18 have blonde hair, and 3 have…

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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: John plans to toss a die until he observes two even numbers. What is the chance that the 2nd even…

A: For a dice roll the sample space is given by: S=1,2,3,4,5,6 so the probability of getting odd number…

Q: ENCYCLOPEDIA”

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Q: What is the probablity of rolling a 2 or a 4 on a dice?

A: a dice have 6 sides  all outcomes are equally possble s : {1,2,3,4,5,6}   p(roll 2 or 4) = ?

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

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Q: stalk? You are going to play a game with dice. A die has 6 sides with 1-6.. What are the chances of…

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Q: What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of​…

A: Suppose a pair of dice is rolled, its sample space is written as follows:

Q: here are four dice rolled once, what is the probability of getting 22 or more?

A: From the given information we find the probability.

Q: What are the odds of rolling 3 on a die?

A: Answer - What are the odds of rolling 3 on a die?

Q: three dice are rolled what are the chances 2 but not 3 will show a 4

A: Since on a die, each of the outcomes is equally likely, the probability of getting a 4 on any die is…

Q: Why is the strategy of rolling twice before passing the dice should be chosen? explain in detail.

A: Here given that two dice can be rolled as many times as we want but if the number 1 appears on it,…

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…

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Q: if a pair of dice is rolled what are the odds in favor of getting a sum of 6

A: Given information- We have given a pair of dice. We have to find the odds in favor of getting a sum…

Q: 3 unbiased dice are flipped for 216 times. Find the chance of getting the face with 6 dots on 3…

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Q: what are the odds of getting 3 jokers out of 6 cards in 2 decks of cards

A: The objective of this question is to calculate the odds of drawing 3 jokers out of 6 cards from 2…

Q: Two 6 sliced dice are thrown. Determine the number of ways that a score of either 3 or 4 can be…

A: There are 6 x 6 =36 total number of outcomes in rolling a two 6 sided dice.The sample space for…

Q: What are the odds of rolling 3 die whose sum is 12?

A: Given information- We have given 3 die whose sum is 12. To get the sum of 12 = (4, 4, 4) Hence,…

Q: On average, how many dice would you expect to show a "4"? die (dice)

A: Geometric distribution is the probability distribution of the number X of Bernoulli trials needed to…

Q: The game board for the television show Jeopardy is divided into 4 categories with each category…

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Q: You are holding one red sock. In your sock drawer are 4 blue socks, 2 green socks, 8 white socks,…

A: We are given that, in a socks drawer Number of blue socks = 4 Number of green socks = 2 Number of…

Q: What are the odds of rolling a dice with a number less than 3?

A:

Q: When two balanced dice are rolled, there are 36 possible outcomes.   Find the number of the sum is a…

A: The maximum sum= 12 for (6,6) And the minimum sum=2 for (1,1) So, in 2 to 12 the multiple of 3 are…

Q: we roll two dice and note sum of upper faces. what is probability that sum of both upper face is…

A: Given data; we roll two dice and note sum of upper faces.  To find; what is probability that sum of…

Q: What is the probability of flipping one head and three tails when flipping a coin four times?

A: Given: A coin flipped four times. Number of total outcomes = 24 = 16

Q: How many chances of winning a lottery game where 4 numbers are picked from 20 numbers?

A: According to the given information in this question We need to find 4 numbers are picked from 20…

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?

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.