Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B. What is the probability that Person A was given a vitamin tablet? Person B was given a sugar tablet given that Person A was given a vitamin tablet? Neither was given vitamin tablets? Both were given vitamin tablets? Exactly one person was given a vitamin tablet? Person A was given a sugar tablet and Person B was given a vitamin tablet? Person A was given a vitamin tablet and Person B was given a sugar tablet?

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: If you pick a card at a random from a wheel shuffle, standard deck of playing cards, what is the…

A: A card is picked from well shuffled standard deck of playing cards Total no. of cards in a standard…

Q: 100 employees of a company are asked how they get to work and whether they work full time or part…

A: Given that there are 100 employees Public transportation :10 full time & 9 part time. Bicycle :…

Q: You own 17 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that…

A: The total number of CDs. are n=17. The number of CDs. needs to arrange r=6

Q: The HOD asked the professor to show him 4 answer books without "A", The professor complained that he…

A: The probability of the event is,   probability=Number of ways to event occurTotal number of possible…

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: The probability that exactly 2 of the rocks are sedimentary is

A:

Q: A certain high school has enrolment of 1200 students. It is known that 355 students take Calculus,…

A: Given values, Total number of students = 1200 Number of students who can take Calculus = 355 Number…

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: Julianna is baking cookies for her Hospitality Management. Out of 50 cookies she baked, 10 are…

A: From the provided information, Out of 50 cookies she baked, 10 are defective. Professor randomly…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: the first card is a club and the second is a red card?

A: Here total cards in deck = 52 Here use basic probability  Probability = # Favorable outcome/# total…

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

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

A: The objective of this question is to find the probability of selecting a six and then selecting a…

Q: If you select one card at random from a standard deck of 52 cards, what is the probability that the…

A:

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A: Given: Number of respondents answered none = 208 Number of respondents answered one = 295 Number of…

Q: Of the cartons produced by a​ company, 9​%have a​ puncture, 3​% have a smashed​ corner, and 0.5​%…

A: Given : Let A : Cartons has a puncture P(A) = 9% = 0.09 Let B : Cartons has a smashed corner P(B) =…

Q: A person has pulled out five cards all at once. What is the probability that the cards are two…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: A bowl contains ten marbles. Four are red and six are blue. Two marbles are drawn from the bowl…

A: given data  bowl contains 4 red marbles 6 blue marbles ___________________ 10 total marbles   select…

Q: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A:

Q: In a class of 30 students, 12 students play basketball and 18 students play football. If 6 students…

A: Ans: - Given, a class of 30 students,         12 students play basketball and 18 students play…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A:

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

A:

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

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

Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

A:

Q: student has to choose an elective class for the last term of college. His counsellor suggested 8…

A:

Q: Five coins are tossed. What is the probability of getting all heads or all tails?

A:

Q: 53% of all Americans have at least some college education. Choose 7 Americans at random. What is the…

A: Given that 53% of all Americans have at least some college education. Hence probability that a…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: Obtain the probability that his/her household has four or more cell phones in use. The probability…

Q: The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers. If the…

A: Given that, There are 4 instrumentalists There are 10 singers There are 6 dancers. The probability…

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.