Determine the probability that exactly three of the balls are blue

Q: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and…

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Q: A box contains 3 blue balls, 4 red balls and 8 green balls. Four balls are selected at random with…

A: Given data, Number of blue balls = 3 Number of red balls = 4 Number of green balls = 8  Total number…

Q: A basket contains 7 red marbles annd 3 white marbles. Three marbles are drawn one after the other.…

A: Here, the sampling method is not specified. The required probability is calculated based on sampling…

Q: There are 250 brunet, 200 blond, 150 brown-haired, and 80 red-haired people. Find the probability…

A: Solution

Q: Find the probability that at least one ball of each color is chosen.

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Q: A person wrote n letters, sealed them in envelopes and wrote the different addresses randomly on…

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Q: A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples isdrawn without…

A: From the provided information,A basket contains 8 red apples and 6 yellow apples. Total apples = 14A…

Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: An urn contains 4 white and 3 red balls. Find the probability distribution of red balls in a random…

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Q: An urn has 5 red balls, 5 blue balls, 4 green balls, and 3 yellow balls. What is probability of…

A: It is given that Number of red balls = 5 Number of blue balls = 5 Number of green balls = 4 Number…

Q: Find the probability of getting 8 heads in a row in 8 tosses of a fair coin.

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Q: Suppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: The objective of this question is to find the probability of drawing two red marbles from a jar…

Q: An urn contains 5 red marbles, 7 white marbles, and 6 blue marbles marbles. A child randomly selects…

A: Given information- We have given that- An urn contains 5 red marbles, 7 white marbles, and 6 blue…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Two marbles are drawn with replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble.…

A: Given,Number of white marbles, n(W) = 3Number of green marbles, n(G) = 2Number of red marbles, n(R)…

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: There are 5 white, 4 black, and 3 red balls in an urn. We select 3 balls at random from this urn.…

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Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

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Q: A box has 12 balls, 4 are red and 8 are green.  Randomly choose 3 balls from the box without…

A: We have given that,  Total balls = 12  Red balls = 4  Green balls = 8  Then,  We will find the…

Q: Calculate the probability that at most 2 of the roses were Eden Roses.

A: let Number of eden roses = X

Q: Nine balls are distributed among four boxes randomly. Calculate the probability that one of the…

A: Here given that total number of items, n=9 We can distribute 9 balls among 4 boxes in…

Q: An urn contains 4 red, 4 black, 6 blue and 2 green balls. If five balls are randomly selected from…

A: Given,no.of red balls=4no.of black balls=4no.of blue balls=6no.of green balls=2total no.of balls=16

Q: A box contains 5 red, 3 white and 6 blue balls. If 3 balls are drawn at random without replacement,…

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Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

Q: Suppose five cards are drawn from a deck of cards. Find the probability that all five cards are…

A: It is known that, Number of cards in a deck = 52 Number of heart cards = 13

Q: An urn contains 39 red, 29 white and 16 blue marbles. A child selects two marbles at random and…

A: Total Red Marbles = R=39 Total white Marbles = W=29 Total blue Marbles = B=16 Total Marbles=84

Q: A bag contains 3 white balls and 5 red balls. If two balls are drawn at random, find the probability…

A: 3 white and 5 red balls

Q: Determine the probability that 31​, 32​, 33​, 34​, or 35 flights will arrive on time

A: We have given that Sample size, n = 39 Probability of success, p = 0.819

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.