A bag contains 100 bills, 80 of which are authentic bills and 20 of which are counterfeit bills. Bills are drawn randomly without replacement. What's the probability that exactly two counterfeit bills are drawn before the third authentic bill is drawn?

Q: An 5-person committee is to be chosen from 18 British people and 19 Americans. What is the…

A: Answer: From the given data, Number of British people = 18 Number of American people = 19 Total…

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: If you were to select one card randomly from a single deck of 52 card what is the probability of…

A:

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

A:

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: A bag contains 10 red marbles, 6 blue marbles, and 4 green marbles. If three marbles are drawn…

A: 10 red marbles 6 blue marbles 4 green marbles ____________________ 20 total marbles   select 3…

Q: A jar contains 10 red marbles, 6 green marbles, and 13 blue marbles. What is the probability that…

A: Given A jar contains 10 red marbles, 6 green marbles, 13 blue marbles.

Q: There are 14 fish in a pond: 7 trout, 4 bass, and 3 sardines. If I fish up 5 random fish, what is…

A: Given, Total number of fishes in a pond =14 Number of trout fishes in a pond =7 Number of bass…

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: Find the probability of 62 or more participants believing life on other planets is plausible

A: From the original problem, It is given that the number of observations are independent with…

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: Damon has 14 white socks, 6 black socks, and 4 blue socks in his drawer. If he chooses two socks at…

A:

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: Two cards are selected from a deck of standard deck of 52 cards. The first card is not replaced…

A: There are 52 cards in a standard deck of cards.  We can select 2 cards from 52 cards in 52P2=2652…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A: No. of red marbles=7No. of blue marbles=4No. of green marbles=5Total no. of marbles=7+4+5=16

Q: There are 14 fish in a pond: 7 trout, 4 bass, and 3 sardines. If I fish up 5 random fish, what is…

A: Given Total number of fish = 14 Trout = 7 Bass = 4 Sardines = 3

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: total number of marbles in jar = 6+3+2 =1111 marbles = 6 blue + 3 green + 2 redselecting randomly 3…

Q: An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,…

A: The objective of this question is to find the probability of a specific sequence of events…

Q: A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected…

A: Given data, Red marbles=4 Blue marbles=3 Green marbles=7 Total no of marbles=14 P(Marble is blue)=?

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.