Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let's say, the sum of the numbers appearing on the two regular six-sided dice is “A' and the sum of the numbers appearing on the two four-sided dice is 'B’. What is the probability that the product of A and B is 12?

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

A: Given : Number of outcomes of two regular six sided outcomes = 36 Number of outcomes of  two regular…

Q: Suppose that the probability of parents having a child with blond hair is 1/4. If there are 6…

A:

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

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Q: A coin is loaded so that the probability of a head occurring on a single toss is 23. In four tosses…

A: here we will use Binomial distribution   A binomial distribution is simply the probability of a…

Q: The probability that a student comes from a two-parent home is 0.75 and the probability that a…

A:

Q: What is the probability that sum of the numbers of dots of a die appearing on them  are 3 or 11, if…

A: Answer: The probability that sum of the numbers of dots of a die appearing on them are 3 or 11 is…

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

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Q: If two dice are thrown, what is he probability that the number on the first die is less than the…

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Q: What is the probability of getting at least one red ball when drawing 4 balls from a box containing…

A: Given that a box contains 3 red balls, 4 white balls and 6 yellow balls and 4 balls are drawn from…

Q: bag contains 4 blue balls and 8 red balls. If two are drawn from the bag at random, what is the…

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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: What is the probability of rolling two standard dice where the first die rolled is a number greater…

A: Given Rolling of two die  Total outcomes when two die are rolled = 36 Multiple of 3 are 3,6,9,12…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: In an experiment, a ball is drawn from an box containing 7 green balls and 7 orange balls. If the…

A: If two dice are rolled then the total number of outcomes= 62 = 36 The cases for which we get sum of…

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: Suppose you win blackjack 47% of the time. What is the probability that you lose 3 games in a row…

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Q: If probability of a single birth resulting in a boy is 0.435, then what is the probability of it…

A: Given that the probability of a single birth resulting in a boy is 0.435. Than we have to find the…

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

A: Let 'S1' be the sample space of rolling two six-sided dice together. S1={1, 1, 1, 2, 1, 3, 1, 4, 1,…

Q: The probability that a student chosen at random from a certain college passes Mathematics is 0.8,…

A: Given, Passes Mathematics P(M) = 0.8 Passes English P(E) = 0.6 Passes at least one of them P(M U E)…

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: A recent survey conducted nationwide found that 72% of people in the United States prefer cheese on…

A: As per our guidelines we are supposed to answer only one question (if there are multiple questions…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: It is known that 40% of the students in a certain college are girls and 50% of the students are…

A: A : a student is a girl B : a student is above median height P(A) = 0.40, P(B) = 0.50, P(B|A’) = 2/3…

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: Let us denote X=the number of patients having the operation surviven=sample size=7p=probability of…

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: Two students are selected at random from a class that consists of 13 males and 7 females. What is…

A: Given: Number of males = 13 Number of females = 7 Total students = 13+7 = 20

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

A: We find the outcomes for sum=7 of the numbers landing uppermost (1,6) , (2,5) , (3,4) , (4,3) ,…

Q: A coin is loaded so that the probability of a head occurring on a single toss is 3/4. In five tosses…

A: The provided information are:

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: A gambler has one pair of fair dice and one pair of loaded (unfair) dice. For the loaded dice, the…

A: Consider the following events, A=chosen pair of dice is fairB=chosen pair of dice is loadedE=sum of…

Q: What is the probability that selected coin is nickel? If it is nickel, what is probability that it…

A: Given :  Box A= 5 nickels and 3 quarters             Box B =  8 nickels and 4 quarters A coin is…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: A man comes from a family of 2 children. What is the probability that the other child is his sister?

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

Q: A bowl contains 12 red balls and 8 white balls. If two balls are selected randomly then what is the…

A: GivenA bowl containsNo.of red balls = 12No.of white balls =8Total no. of balls = 20

Q: A large cube is painted red from all its sides, and then cut into 27 smaller cubes (like a rubiks…

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Q: A card is drawn at random from a set of cards containing two decks. What is the probability that the…

A: Solution: A deck contains 52 cards. It has 4 suits. Each suit contains 13 cards. There are 26 red…

Q: Suppose that you have a barrel with 6 apples and 6 oranges in it. If 3 fruits are selected, what is…

A: The required probability is, 9/22  The detailed solution is as follows below:

Q: According to the U.S. Census Bureau, the probability that a randomly selected worker primarily…

A: Given, the probability that a randomly selected worker drives car to work is 0.832.

Q: A PC manufacturer buys 38% of its chips from Japan, and the rest from the US. Of the Japanese chips,…

A: Given Data: P( Chips from japan)=0.38 P( Chips from US)=0.62   P( Defective chip from Japan)=0.017…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 11…

A: Since , we are not given any other information about the dice so we are assuming the given dice to…

Q: suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an…

A: If two 6 sided dice are rolled then sample space is given by-…

Q: A pair of fair 6-sided dice is rolled. What is the probability that a 2 is rolled if it is known…

A: When we rolled two dice then the possible outcome or sample space is,{(1,1), (1,2), (1,3), (1,4),…

Q: Suppose you flip a fair coin 4 times. What is the probability that they are either all head or all…

A: Coin is flip 4 times  that is totel outcomes will be 2^4 = 16

Q: A snack tray is arranged with 6 cups of apple slices in the first row, 8 cups of orange slices in…

A: Introduction: Suppose an experiment consists of n total number of possible outcomes, out of which, n…

Q: One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5…

A:

Q: Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular…

A: Solution: Let A be event that a person in the U.S has diabetes and B be the event that a person in…

Q: A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from the…

A:

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.