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

Q: A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

A: Given  A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

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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: Joe rolls a 6-die and Magdalena rolls an 8-die. What is the probability that Joe rolls a larger…

A: Given information: Joe rolls a 6-faced die. The possible numbers that are rolled by Joe are 1, 2, 3,…

Q: What is the probability of being dealt three cards of one denomination and two of another in…

A: We have to find goven probability

Q: If you flip a coin 18 times and get 14 heads and four tails, what is the probability that there is…

A: Given: 14 Heads  4 Tails flipped 18 coins

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: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

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Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

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Q: If a dice is rolled, what is the probability that a 3 or 4 is rolled before a 6

A: We have given that,  When a dice is rolling,  Then,  We will find the probability a 3 Or 4 is rolled…

Q: If you select a three-digit number at random, what is the probability that the units digit is 7?…

A: We have to find the probability that the units digit is 7 and probability that the hundreds digit is…

Q: f we roll one fair, 6-sided die, what is the probability that we roll a 5?

A: Given:-A fair 6-sided dieTo find: the probability that we roll a 5,              If one fair 6-sided…

Q: Two dice are rolled at one time, what is the probability of getting a sum greater than or equal to 6

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Q: A married couple and four of their friends sit at a round table. What is the probability that the…

A: In a circle of n different persons, the total number of possible arrangements is (n-1)!.It is given…

Q: A pair of dice is thrown. If it s known that one die shows a 4, what is the probability that (a)…

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Q: If two dice are rolled, find the probability that neither die shows a 3 on it.

A: It is an important part of statistics. It is widely used.

Q: A pair of dice is thrown, what is the probability of getting a result of prime number?

A: Given Sample space=36

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: The probability that the children in a specific family will have brown eyes is 3/8. If there are…

A: Given that event=children will have brown eyes=3/8 Children without brown eyes=1-3/8=5/8 Total…

Q: If we toss four coins, what is the probability that we get the same number of heads as tails?

A: From the provided information, There will be 16 different possibilities when 4 coins are tossed:…

Q: In a family of 3 children, what is the probability that the middle child is a girl?

A: If a family have 3 children, then the possible outcomes…

Q: What is the probability that the sum is 2 or at least one die shows a 6 in rolling a pair of dice?

A: When rolling a pair of dice the probability that the sum is 2 is: There is only one case for it to…

Q: In a family of 6 children what is the probability there are exactly 4 girls?

A: Solution: 9. Let X be the number of girls and n be the sample number of children. From the given…

Q: If 5 people get on an elevator which will stop on 9 floors, a) what is the probability that no…

A: Given 5 people get on a elevator which will stop on 9 floors. We need to find probability that no…

Q: A fair coin is tossed thrice, what is the probability of getting all 3 same outcomes?

A: Obtain the probability of getting all 3 same outcomes.   The probability of getting all 3 same…

Q: In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: 3. The probability of Team A winning is 0.3, probability of Team B winning is 0.5, and the rest is…

Q: If the dice are rolled once , what is the probability of a number that is odd or divisible by 3 ?

A: Assuming the dice is fair, the number of outcomes will be 1, 2, 3, 4, 5, 6. Each outcome has an…

Q: hat is the probability that when three coins are flipped, at least one lands heads? Type your…

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Q: A person is dealt a 5 card hand. What is the probability that they get a pair of Queens or a pair of…

A: Total number of cards in a deck = 52 Number of kings = 4 Number of queens = 4 Number of cards drawn…

Q: If we roll two dice, what is the probability that one of the numbers on top is 3?

A: When two dice are rolled, there are 36 outcomes in the sample space, which is given by Sample space,…

Q: A street magician showed a trick where he picked one card from a standard deck. Determine what the…

A: In a standard deck of card, there are total 52 cards.  Among those 52 cards, 4 cards are kings.

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

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Q: A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at…

A: Given  5 blue balls, 4 red balls, and 3 orange balls.

Q: What is the probability that an employee is married and owns a car?

A: a certain company, the probability that an employee is married is 65%. The probability that an…

Q: If parents have 5 kids, what is the probability of the first three being one sex and the next two…

A: Let M represents male kids and F represents female kids

Q: If three dice are tossed, find the probability that the sum is less than 16.

A: To find the probability that the sum is less than 16 if three dice are tossed. Solution: We know…

Q: A pair of fair dice is tossed. If the sum is 6, find the probability that one of the die is 2.

A: ### Given pair of fair dice is tossed then        Sample space (S)…

Q: You draw one card at random from a standard deck of 52 playing cards. What is the probability that…

A: Probability = number of outcomes/ total outcome

Q: A pair of dice is thrown, If it is known that one die shows a 4, what is the probability that:…

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

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Q: With the throw of two dice, what is the probability that the sum will be a prime number?

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Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: Two dice are rolled, what is the probability that one die is a 2 or a 4?

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

A: Given: Two fair dice are rolled. The objective is to find the probability that the sum of the dice…

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

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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: If two dices are rolled, what is the probability that the sum of the up-turned faces will equal 7?

A: In this case, the sample space when two dices are rolled is shown below:

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.