A fair die has one face numbered 1, one face numbered 3, two faces numbered 5 and two faces numbered 6. (i) Find the probability of obtaining at least 7 odd numbers in 8 throws of the die.

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: Find the probability of scoring a total of 9 points in 2 tosses of a pair of fair dice (a) once, (b)…

A: We toss a dice 2 times. There are total 6 faces of a die. 1,2,3,4,5,6 Then number of times the total…

Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

A: According to the permutation rule, if r distinct items are to be chosen from n items without…

Q: Urn 1 contains 7 red balls and 1 black ball. Urn 2 contains 3 red balls and 1 black ball. Urn 3…

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Q: flipping

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Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

A: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

Q: A ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: Suppose you roll two fair dice, one that is red and other is blue. Each die can have numbers from 1…

A: The total number of possible outcomes for rolling two fair dice is 36. The possible outcomes for…

Q: Find the probability getting exactly 11 heads in twenty tosses of a coin.

A: The probability of getting a head in tossing a coin is 0.5. p=0.5 Given  n=20 x=11

Q: Find the probability of obtaining two heads in the toss of two unbiased coins when (a) at least one…

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Q: Find the probability of throwing a sum of 5 at least 6 times in 10 throws of a pair of fair dice.

A: It is given that a pair of fair dice thrown 10 times.

Q: Calculate the probability of 3 heads in 5 tosses of a coin, where r is the number of heads…

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Q: Find the probability of scoring a total of 8 points in 2 tosses of a pair of fair dice (a) once, (b)…

A: If a pair of fair dice is thrown then total number of outcomes, n(S) = 6*6 = 36 The event space for…

Q: Find the probability that the coins will match if (a) two boys each toss a coin (b) three boys each…

A: A coin has 2 possible outcomes. Head(H) and tail(T)   a) When 2 boys each toss a coin then the…

Q: A fair die is thrown 6 times. Find the probability of rolling a ​"two​" on exactly 4 of the 6…

A: Explained below

Q: Two balls are picked at random from a bag containing 8 red balls and 5 white balls. Calculate the…

A: Given data :  Red balls = 8  White balls = 5  Total number of balls = 13

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: There are three boxes: the first box has 2 red balls and 5 blue balls, the second box has 4 red…

A: Probability

Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

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Q: Urn 1 contains 7 red balls and 5 black balls. Urn 2 contains 1 red ball and 2 black balls. Urn 3…

A: Obtain the probability that an urn selected at random and the ball drawn is red.  The probability…

Q: You and the enemy each have 200 drops of blood, you attack the enemy and drop a random integer…

A: You and the enemy both have 200 drops of blood.You initiate the attack by randomly dropping an…

Q: an experiment where 2 balls are drawn successively at random without replacement from a box…

A: Given that  Box contains  Red balls = 2 Green balls = 3 Blue balls = 2 Total balls in box = 7 We…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

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Q: 5 red and 2 black balls, each of different sizes, are randomly laid down in a row. Find the…

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Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: A man and his wife appear in an interview for two vacancies in the same post. The probability of…

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Q: A box contains 2 black, 4 white and 3 red balls. One ball is drawn at random from the box and kept…

A: Answer: From the given data,

Q: What is the probability that a single die shows a 1 or a 6 in a single roll? Show your complete…

A: The possible outcomes when rolling a die is {1,2,3,4,5,6}.

Q: Dr. Train has  (8 choose 4)    ways of selecting problems for Exam #1 Amalia can solve 5/8 of the…

A: We have given that,  Let X be the random variable with probability of Amaila can solve (p)= 5/8 with…

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…

A: We have to use multiplication theory of probability to find the required probability.

Q: what is the probability that Joe will like all the boss’s choices

A: When ordering his new office equipment, Joe must choose one of 8 monitors, one of 9 printers, and…

Q: An urn contains 10 red balls, 14 green balls, and 7 yellow balls. What is the probability of…

A: We have given that Red balls = 10 Green balls = 14 Yellow balls = 7 Total balls = 10+14+7 = 31

Q: What is the probability that the second ball is red, given that the first ball is red?

A: There are two urns contains two different colors of ball. First urn contains 6 red balls and 3 blue…

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.