A box contains 11 red marbles, 7 green marbles, and 6 black marbles. A sample of 10 marbles is to be picked from the box. (a) How many samples contain at least 1 red marble?(b) How many samples contain exactly 4 red marbles and exactly 3 black marbles?(c) How many samples contain exactly 7 red marbles or exactly 6 green marbles?(d) How many samples contain exactly 5 green marbles or exactly 3 black marbles?

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

A:

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: Cookies (4 Circle-shaped, 8 Heart-shaped, 3 Bear-shaped) Suppose you draw one cookie from the box at…

A: It is given as18 Chocolate Cookies (8 Circle-shaped, 6 Heart-shaped, 4 Bear-shaped) 15 Vanilla…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

A:

Q: A teacher has two large containers filled with blue, red, and green beads, and claims the proportion…

A: Let p1= the true proportion of red beads in container 1 and p2= the true proportion of red beads in…

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

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

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

A:

Q: A company received a shipment of 47 laser printers, including 7 that are defective. 2 of these…

A:

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: elected fr

A:

Q: A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and…

A: Introduction:  Consider the commuters to be a sample of universal set and similarly for the subway…

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

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

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: From a group of  13  people how many ways we can select a   (a) 3 Supervisor (b) 7 Technicians…

A: Given: Total number of people, n=13 It is known that the formula to find different combinations is,…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

A: Given info:Five active players available on roster to play outfield.

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.