An urn contains 4 red balls and 3 orange balls. If Frank chooses 5 balls at random from the urn, what is the probability that he will select 3 red balls and 2 orange balls? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.)

Q: Sarah is about to draw a card at random from a standard deck of 52 playing cards. If he draws a…

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Q: Find the probability of selecting  4  science books and  5  math books from  7  science books and…

A: The total number of science books is 7 and the total number of math books is 9.

Q: Richard has been given a 6-question multiple-choice quiz in his history class. Each question has…

A: Here the given information is Richard has been given a 6-question multiple-choice quiz in his…

Q: A couple plans to have 4 children. Find the probability of getting exactly 1 girl.

A: The objective of this question is to find the probability of a couple having exactly 1 girl out of 4…

Q: A friend shares a new playlist of 14 songs with you. The playlist has 2 rock song, 5 pop songs, 5…

A: From the given information, there are 14 songs.   There are,   2 rock songs 5 pop songs 5 rap songs…

Q: An urn contains 3 yellow balls and 6 white ball . If Vince chooses 7 balls at random from the urn ,…

A: The number of yellow balls is 3 and the number of white balls is 6.

Q: A child finds a stack of old magazines in the basement and picks one out at random. Find the…

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Q: A die is thrown 5 times. Z= Number of Even numbers. Find the probability of getting exactly 3 even…

A: Givena die is thrown 5 timesn=5probability of getting even number =36=0.5          (since there are…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, find…

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Q: You roll a six-sided die. Find the probability of rolling: a 5 or a number greater than 3 a number…

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Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Suppose a jar contains 12 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

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Q: There are 6 male students and 21 female students in a class. If you choose 2 students at random,…

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

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: A manufacturing company uses an acceptance scheme on items from a production line before they are…

A: Note: As per our guidelines we are supposed to answer only one question per post so i am solving…

Q: High school seniors who are accepted to TCNJ have a 60% yield rate, meaning that 60% of accepted…

A: Given information, the percentage of accepted students decide to attend TCNJ is 60% and there are 3…

Q: In a box there are 4 red, 4 blue and 3 white marbles. Two marbles are selected at random and the…

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Q: You go to a shelter. There are 15 cats and 12 dogs. If you choose 2 random animals, what is the…

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Q: A bag contains 3 pink gumballs, 4 red gumballs, and 2 green gumballs. Find the probability that a…

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Q: Suppose a jar contains 5 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the…

A: Given that, Number of red marbles = 5Number of blue marbles =40Total number of marbles = 45

Q: A box contains 5 white,2 red and 2 black balls. If 3 are drawn in succession Which is the…

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Q: A jar contains 3 red, 2 white, and 5 blue marbles. What is the probability of selecting two marbles…

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Q: Allie plays on the varsity basketball team and makes 79% of her free throws. If she takes 12 shots,…

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Q: steps pl

A: The total number of balls are 4 where, 1 green ball. 1 red ball. 1 yellow ball. 1 white ball. It…

Q: Suppose a jar contains 17 red marbles and 22 blue marbles. If 2 marbles are randomly chosen from the…

A: There are 17 red marbles and 22 blue marbles. Thus, there are 39 marbles in total.

Q: Solve correctly. I will rate accordingly.   An urn contains four yellow balls and two green balls.…

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Q: Richard has been given a 6-question multiple-choice quiz in his history class. Each question has…

A: n=6, p=2/3 , X~Binomial(n=6, p=2/3)  Let X be the number of incorrect question. p be the probability…

Q: An average number of phone calls to the station is 1 for 12 minutes. Find the probability that…

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Q: Find the probability of getting a 3 of a kind when playing 5 hand poker

A: We have to find out : The probability of getting a 3 of a kind when playing 5 hand poker.

Q: Suppose a jar contains 8 red marbles and 23 blue marbles. If you reach in the jar and pull out 2…

A: Given that, A jar contains 8 red marbles and 23 blue marbles. Total number of marbles = 8+23 = 31…

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.