2 dice are rolled and their up faces are noted. What is the probability both numbers are even given their sum is 6

Q: Two 10 sided dice are rolled. What is the probability that the sum of the two numbers that come up…

A: Given,two 10 sided dice are rolled ,so, total possible sum is 20 (10+10=20)and no.of prime numbers…

Q: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

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

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

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Q: Suppose you roll three dice. What is the probability that the smallest number seen is five?

A: Solution: From the given information, three dice are rolled.

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Here, the number of tennis balls is 10 and each number picked has a probability of 110. X denotes…

Q: if two dice are cast, what is the probability that the sum will be less than 5?

A: Two dice are thrown together. Nedd to find the probability that numbers on the two faces sum/add is…

Q: What is the Probability a couple has two children at least one of them is a boy. Assume that the…

A: Given that, The boys and girls are equally likely. P(boy) = 0.5 P(girl) = 0.5

Q: A committee of 2 people is to be chosen from 6 women and 5 men. What is the probability at least one…

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Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

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Q: Supty has a set of three special coins. For the first, second and third coin, probability of getting…

A: Given, Supty has a set of three special coins. For the first, second and third coin, probability of…

Q: A pair of dice is rolled. What is the probability that the sum of the numbers rolled is 4?

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Q: A ball will be randomly selected. (a) What is the probability that the selected ball is grey?

A: It is given that the, In a bag, there are total 6 balls which contain the 2 grey balls and 4 are…

Q: Suppose that you flip four coins. What is the probability that when four coins are flipped, we get…

A: 1) Consider the experiment of flipping of 4 coins. Each coin flip has 2 possible outcomes, so the…

Q: 2. If a dice is rolled one time, find the probability of: a. getting 4, b. getting an even number,…

A: According to bartleby expert guidelines we can answer only first three subparts. Rest can be…

Q: What is the probability that the 2 and 3 of clubs are next to each other in a shuffled deck? Hint:…

A: Introduction: Probability can be defined as a mathematical tool that helps the experimenter provide…

Q: Two dice are rolled simultaneously. What is the probability that the two scores are different?

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Q: A pair of dice is rolled. What is the probability of getting a sum less than 7?

A: When a pair of dice are rolled then there are (6x6)=36 cases, because each die has 6 outcomes.  If…

Q: A pair of dice is rolled. What is the probability of getting a sum of 6? What is the probablity of…

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Q: If two pennies are flipped once, what is the probability both pennies will turn up heads? Assume…

A: Given that Two pennies coin are tossed  Coin are fair then probability of head or tail is 0.5

Q: A single card is drawn from a deck of 52 cards. What is the probability that the card is a red given…

A: Given : A single  card is drawn from a deck of 52 cards we have to find the following probabilities.

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Given data The probability that Alice arrives on time is 80% The probability that Bob arrives on…

Q: Two different missiles are shot simultaneously at a practice target. If the probability of the first…

A: Ans#- Given two different missiles are shot simultaneously at a practice target.…

Q: Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice…

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Q: Dan tosses a fair pyramid die that has four sides 3 times.  What is the probability he rolls at…

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Q: Two cards are drawn from a standard deck without replacement. What is the probability that the first…

A: We know that total numbers of cards in a standard deck are 52.Total numbers of kings in a standard…

Q: A bag contains 4 balls, and 5 red balls. One ball is drawn from the bag. What is the probability…

A: Total blue balls= 4 Red balls= 5 Total Balls= 4+5 = 9 Probability of selecting Blue ball, P(B)= 4/9…

Q: The probability that a lightbulb is defective is 0.1 (meaning "good" is 0.9). 1. What is the…

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Q: A bag contains 5 red and 7 white balls. Two balls are drawn at random from the bag. What is the…

A: Total number of balls in the bag is 12 Number of red Balls in the bag is 5  Number of white balls in…

Q: Two dice are rolled. (1) What is the probability they sum to 11, 8, or 12? (2) What is the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.it…

Q: Two students are chosen at random from a class of 30. What is the probability that both you and your…

A: We will find the solution in the following step.

Q: If you roll a fair die and then flip a fair coin, what is the probability that you roll greater than…

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Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: Rolling a pair of dices gives a total of 36 outcomes. The sample space, when we roll two dice is…

Q: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the…

A: From the given information, it is clear that There are, 8 red balls so, nR=8 7 blue red balls so,…

Q: An urn contains 5 red balls, 3 green balls. Draw 8 balls without replacement. What is the…

A: We can draw the third ball to be red in 5C1=5 ways. We can draw the seventh a green one in 3C1=3…

Q: A pair of dice is rolled. What is the probability of getting a sum of 10?

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Q: 2. A coin is flipped 8 times: • What is the probability it landed heads 5 times? What is the…

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Q: A card is drawn from an ordinary deck and we are told that it is red. What is the probability that…

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Q: A box contains 6 red balls, 4 white balls. Two balls are drawn, what is the probability of the first…

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Q: A bag contains 4 green, 6 black and 7 white balls. A ball is drawn at random. What is the…

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Q: Two dice are rolled, what is the probability that one die is a 2 or a double?

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Q: A family has 5 children. What is the probability that 3 of the children are girls?

A: We have given that  n= 5 X= 3 p= 0.5

Q: What is the probability the first card is a heart? What is the probability the second card is a red…

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Q: Two dice are rolled. Given that two different numbers come up, what is the probability that one of…

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Q: Three dice are rolled together. What is the probability of getting at least one 4?

A: when Three dice are rolled together total outcome will be 216

Q: A red die is tossed and then a green die is tossed. What is the probability that the red die shows a…

A: Given information- We have given 2 dies. One red die and one green die. We know that die has 6 faces…

Q: you  draw 9  cards from standard deck with replacement.  what is the probability that exactly 5…

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Q: Two fair dice are rolled and the sum of their up faces are noted. What is the probability that the…

A: To work out the probability of the required event in the rolling of two fair dice

Q: A pair of standard dice are rolled. What is the probability that at least one die is a 5, given that…

A: From the given information, the number of outcomes for getting at least one dies is 5 and sum of the…

Q: A pair of dice is rolled. What is the probability of getting a sum less than 10​?

A: Solution:Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes…

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.