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 5 red marbles, 4 green, and 8 blue. Find the probability of pulling two red marbles…

A: There are total 17 marbles in a box as 5 red + 4 green + 8 blue. Now consider the following values:…

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

A:

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 committee of 2 people is to be chosen from 5 women and 4 men. What is the probability at least one…

A: Given Information: Number of women = 5  Number of men = 4  To find: The probability at least one man…

Q: A bag contains 4 red marbles and 7 blue marbles. You randomly pick a marble, return it to the bag,…

A: The number of red marbles is 4 and the number of blue marbles is 7.

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: The first line of a local all-star team is to be composed of 4 strikers, 3 midfeilders and 3…

A: Given,the first line of a local all-star team comprising 4 strikers, 3 midfielders, and 3…

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

A:

Q: Two cards are drawn at random from an ordinary deck of 52 playing cards one at a time with…

A: Two cards are drawn at random from an ordinary deck of 52 playing cards one at a time with…

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: Peter and his wife go to a dance lesson.  There are 5 other couples.  The dance instructor randomly…

A: Treating a couple as an individual, the probability of choosing Peter and his wife among 6 couples =…

Q: contains 2 green  marbles and 2 blue marbles . What is the probability of selecting 2 green marbles…

A: Total marbles=2+2=4 Green marbles=2 Blue marbles=2

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: 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: 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: 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: A box contains 7 red and 3 white marbles. Three marbles are drawn from the box one after the other…

A:

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

A:

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.

A:

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: On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas,  If 3 pieces of fruit are…

A: Givenon lunch counterNo.of oranges = 3No.of apples = 5No.of bananas = 2

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

A: P(an ace and a 3 being drawn)=?

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: 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

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.