Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how many ways can at least 20 cents be drawn out?

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

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Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 3 nickels, and a quarter, how…

A: The probability density function of X is obtained below:From the given information, number of coins…

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards out of…

Q: If a person can select five books from a list of ten, how many different combinations are there?

A: Given data: The total numbers of books are n=10. The number of books selected is r=5. The expression…

Q: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: In how many ways can 5 people be seated on a sofa, if there are only 3 seats available? * In how…

A:

Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: If a family has six children, in how many ways could the parents have two boys and four girls?

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Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: An equestrian club has ten members. If the club wants to select a president, vice president, and…

A:

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 4 colors, and 5 fabrics, in…

A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

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Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: How many different 5-card hands are possible from a deck of 52 playing cards?

A: Topic- permutations and combinations

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: In a certain beauty pageant, there are 10 equally beautiful and talented candidates. In how many…

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Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

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Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: How many 5-card hands are possible from a standard deck of 52 playing cards if the cards are drawn…

A: How many 5-card hands are possible from a standard deck of 52 playing cards if the cards are drawn…

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: In how many different ways can we select a committee of four members from 13 applicants?

A:

Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

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Q: how many hands of 33 cards can be made, where all cards are of the same suit?

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Q: Your sister is shopping at an exclusive Rodeo Drive clothing store and examines 4 distinct blouses,…

A: It is given that there are 4 distinct blouses, 5 distinct dresses, and 2 distinct handbags. Since,…

Q: If a family has four children, in how many ways could the parents have two boys and two girls?

A:

Q: Out of a population of 52 people, how many possible samples of size 2 are there?

A: Given information- Population size, n = 52 Sample size = 2 We have to find the number of possible…

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

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Q: An urn contains 5 red balls, 4 green balls, and 1 white ball. Three are drawn simultaneously. Answer…

A: As per the questionNo of red balls = 5No of green balls = 4No of white balls = 1

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A:

Q: A teacher will randomly award three students with extra credit. How many possible ways can the…

A: Given that  , a teacher will randomly award three students with extra credit .  Teacher can pick…

Q: Ten people wish to play in a basketball game. In how many different ways can two teams of five…

A: To find: How many different ways can two teams of five players each be formed among ten people

Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

A:

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

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Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

A:

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.