Taryn has 15 soccer trophies but she only has room to display 9 of them on a shelf. If she chooses them at random, what is the probability that each of the trophies from the school invitational from the 1st through 9th graders will be chosen?

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: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting four…

A: From the provided information,We are dealt 7 cards from a shuffled deck of 52 cards.Total cards =…

Q: Pete's Tavern is located near a busy intersection in the Village of Bronxville. Every week on…

A:

Q: You are dealt one card from a standard 52 card deck . Find the probability of being dealt the two of…

A: A card is dealt from a standard deck of 52 (= n) cards.

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: You randomly select one card from a​ 52-card deck. Find the probability of selecting the five of…

A: We have given that probability of selecting the five of spades or the three of clubs We have to find…

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

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 couple plans to have 4 children. Find the probability of getting exactly 1 girl.

A: The objective of this question is to find the probability of a couple having exactly 1 girl out of 4…

Q: A jar contains 15 red marbles and 75 blue marbles. If you randomly pick a marble from this jar, the…

A: Introduction: Total number of marbles in the jar is, n = 90 [= 15 red + 75 blue].

Q: A bag contains 6 red, 8 white, and 4 blue marbles. Find the probability of picking 3 blue marbles if…

A:

Q: A friend shares a new playlist of 14 songs with you. The playlist has 2 rock song, 5 pop songs, 5…

A: From the given information, there are 14 songs.   There are,   2 rock songs 5 pop songs 5 rap songs…

Q: A city council consists of seven Democrats and five Republicans. If a committee of six people is​…

A: Here, seven Democrats and five Republicans. committee of six people is​ selected. The number of ways…

Q: If the probability of Ali and Hamad winning in a competition is 0.37 and the probability of losing…

A: It is given that the   probability of Ali and Hamad winning in a competition is 0.37 i.e. P(Ali and…

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: According to a survey of American households, the probability that the residents own 2 cars if…

A: According to the provided data,

Q: there are 8 boys and 6 girls on a soccer team. the coach will select a captain and then select a co…

A: Given: There are 8 boys and 6 girls on a soccer team. Total members in the team: 8+6=14 Total ways…

Q: What is the probability that he will pass the exam, if the passing rate is 60%.

A: here given ,  exam is multiple choices , each question have 4 choices  p = probability of correct…

Q: If the probability that the Mets will win a baseball game is 30%, find the probability that the Mets…

A: Given; P(win)=30%=0.30 Therefore, the probability that the Mets will not win is-

Q: A class has 20 students, 5 boys while the remaining students are girls. They are randomly divided…

A: Given information- We have given that a class has 20 students. No. of boys = 5 No. of girls = 15 We…

Q: A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records…

A: given data,a basket contain 4 pink clips                              6 purple clips…

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: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: Find the probability that a randomly selected voter voted for Bob Jones.

A: For a recent local election, 55% of the voters were Democrats. Of the Democrats, 80% voted for John…

Q: Six free tickets to a Manchester United match at Old Trafford will be shared by drawing lots among…

A: Given that: Number of tickets = 6 Number of boys = 10 Number of girls = 8 Each student can win at…

Q: h class has 7 girls and 5 boys in the seventh grade and 2 girls and 6 boys in the eighth grade. The…

A: Given that   Boys  Girls  Total  7th grade 5 7 12 8th grade 6 2 8   Total boys = 11 Total…

Q: Dad’s music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: 5 rock music albums  3 classical music albums  1 love song album ____________________________ 9…

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

A:

Q: Colin, Michael, and John are among 15 singers in the community choir. Three members of the choir…

A: to find:- Probability of all 3, i.e. C, M & J are being chosen among 15 singers.

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: The contestant selects a box at random and selects a bill from the box at random. If a $100 bill is…

A: Let us define some events A : bill is from box 1. B : bill is from box 2. C : bill is from box 3. D…

Q: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards…

A: The total number of outcome is 52 and select the 4 cards all 4 cards are queens.

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.