În a class of 20 students, 12 study biology, 15 study history and 2 students study neither biology nor history. a Find the probability that a student selected at random from this class studies both biology and history. b Given that a randomly selected student studies biology, find the probability that this student also studies history.

Q: A box contains 8 red, 5 white, 6 blue and 11 black marbles. If one marble is taken from the box,…

A: we have 8 red , 5 white , 6 blue and 11 black marbles if one marble is taken from the box, find the…

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

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Q: In a poker hand consisting of 5 cards, find the probability of holding at most 2 red cards.   A…

A: Since you have asked multiple questions,we will solve the first question for you.If you want any…

Q: a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks and 2…

A:

Q: a bag contains 1 blue marble, 7 red marbles, and 2 yellow marbles. The probability of drawing a blue…

A: The bag contains total 10 marbles, among which 1 marble is blue, 7 is red and 2 yellow marbles.

Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is…

A: bag 1   4 red , 3 black =7 total balls     bag 2  2 red ,4 black = 6 total balls     select 1 bag at…

Q: A bag contains 10 red pens and 5 blue pens. If a student picks 2 pens from the bag, find the…

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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: A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double…

A: There there are n Blue balls. So total balls = n+5 Probability of selecting red balls, P(R)= 5/(n+5)…

Q: There are 2 blue balls, 1 white ball and 3 red balls in an urn. 2 balls are drawn at random. Find…

A: It is given that Number of blue balls = 2 Number of white balls = 1 Number of red balls = 3 Total =…

Q: bag contains different color marbles, 4 blue marbles, 7 yellow marbles, 5 red marbles, and      2…

A: The probability of getting a green marble is  p = 2/16 p = 0.125   n = 36

Q: In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing a school…

A: Given that In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing…

Q: From a bag containing 4 black balls and 5 white balls, two balls are drawn. Find the probability…

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Q: A special deck of 20 cards contains 12 black cards and 8 green cards. One of the cards has a bent…

A: Given :  Total cards = 20 Black cards = 12 green cards = 8

Q: at a university with 200 students, 32 play soccer, 18 play basketball and 8 play both sports. if a…

A: Given that 32 students play soccer, 18 students play basketball There are total (32+18) = 50…

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: A pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers. If Rebecla and Aaron…

A: Given that the pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers.…

Q: If one card is drawn from a standard deck, find the probability of getting a black or a face card

A: Given that, Card is drawn from a standard deck, We have to  find the probability of getting a black…

Q: From a group of 4 TV critics and 8 movie critics, we randomly select 5 people. If at least 2 movie…

A: Solution-:l We have 4 TV  critics and 8 movie  critics We randomly select 5 people If at least 2…

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 doctor has 3 doses of flu protection vaccine left. He has 5 women and 9 men who want the…

A: GivenNo.of women = 5No.of men = 9Total no.of people = 14No.of doses doctor have=3

Q: high school with 200 students, 32 play football, 18 play basketball, 8 play both sports. If a…

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Q: The probability of selecting a four-person committee with one Democrat and three Republicans is .

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Q: Suppose a jar contains 648 red marbles and 292 blue marbles.  If you reach in the jar and pull out 2…

A: A jar contains 648 red marbles and 292 blue marbles, there are totally 940 marbles. Two marbles are…

Q: . Find the probability that you get exactly 14 green cubes and exactly 12 orange cubes.

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Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: If you are dealt three cards from a shuffle deck of 52 cards find the probability that all 3 cards…

A: Obtain the probability that all 3 cards are picture cards. The probability that all 3 cards are…

Q: two books are selected from a box containing 6 fiction and 8 nonfiction books. find the probability…

A: It is given that two books are selected from a box containing 6 fiction and 8 nonfiction books.…

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: 60 boys and 20 girls are there in a class. Half of the boys and half of the girls of the class play…

A: There are 60 boys and 20 girls in the class. Half of the boys and half of the girls of class play…

Q: A box contains 4 white, 2 red and 4 black balls. Another contains 1 white, 4 red and 3 black balls.…

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Q: selected bag, one ball is drawn.Find the probability that the ball drawn is red.

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Q: A committee of 5 people is to be formed from 12 males and 15 females. Determine the probability that…

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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.