A gumball machine contains 4 red gum balls, 2 blue gum balls, and 5 yellow gum balls. You put a coin in the machine, and two gum balls come out, one after the other. What’s the probability that the first gum ball that comes out is red and the second gumball is yellow?

Q: Your friend has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips. What is the…

A: In question, Given that a friend has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips.…

Q: Pete's Tavern is located near a busy intersection in the Village of Bronxville. Every week on…

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

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: You are dealt a hand of 13 cards, find the probability that you have 4 hearts, 3 spades, 5 diamonds…

A: Given that  Total number of cards=52 Number of hearts cards=13 Number of spades cards=13 Number of…

Q: An office has 7 men and 6 women employees.  Three employees are picked at random for a trip to…

A: 7 men 6 women  ____________ 13 total employees select 3 at random  P(2 males and 1 female) = ?

Q: Ian rolls the two dice and will win the game if the sum of the numbers of the two dice is 8. What is…

A: Two dice are rolled, outcome of this event is: Ω= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

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: A laundry bag contains 8 brown socks and 3 black socks. Find the probability of picking two black…

A: Given Data: n( brown socks)=8 n( black socks)=3   Total number of socks=8+3=11

Q: There are 6 red eggs and 8 green eggs in a tank. Joe reaches in and randomly eats 4 eggs. What is…

A: Given: Number of red eggs, n(R)=6. Number of green eggs, n(G)=8. Total number of eggs, N=14.…

Q: Mario has 3 nickels , a dime, and 2 quarters in his pocket. What is the probability that he randomly…

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Q: A box1 contains 9 red and 7 black balls. Another box2 contains 6 red and 4 black balls. One ball is…

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Q: A bag has 12 blue marbles and 24 red marbles. If you draw 3 marbles with replacement, what is the…

A: Let p be the probability of blue marble let n be the number of marble which one is drawn X be the…

Q: A couple has 2 children. What is the probability that both are girls if the older of the two is a…

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Q: Mike has 7 white shirts and 4 blue shirts. He picks 3 of the shirts randomly to stuff in his…

A: Obtain the probability that all 3 shirts selected will be white. The probability that all 3 shirts…

Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Given that, two dice are rolled. Then the total number of possible outcomes is 36,n(Ω)=6×6=36Let, A…

Q: Two cards are drawn randomly from a deck of 52 cards. Find the probability that both are diamonds or…

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Q: Three card are drawn at random from a full pack of cards. Find the probability that the three cards…

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Q: child has a box containing 8 toys cars and 6 toy trucks. They reach in and randomly select 2 toys,…

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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.