What is the probability that the set selected contains the letter A and does not contain the letter B?

Q: contains 2 red, 5 green, 6 blue, and 5 yellow marbles. If a single marble is chosen at random from…

A: So by using definition of probability we can solve given problem-

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

Q: poll is given, showing 70% are in favor of a new building project. If 8 people are chosen at…

A: According to the given information, we haveProbability, p = 70% = 0.70Sample size, n = 8

Q: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

A: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

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: Five different prizes are found in cereal boxes. Design an experiment using a deck of cards to…

A: There are 5 different prizes.Assume there are 5 cards that represent the prizes.Total number of…

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 poll is given, showing 30% are in favor of a new building project. If 8 people are chosen at…

A: The information provided in the question are as follows :- Proportion of people in favor of a new…

Q: In a small private​ school, 6 students are randomly selected from 17 available students. What is…

A: Given: Number of selected students = 6 Total number of available students = 17 Formula Used: The…

Q: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks…

A:

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: A poll is given, showing 50% are in favor of a new building project. If 9 people are chosen at…

A:

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: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A small voting district has 90 female voters and 80 male voters. A random sample of 10 voters is…

A: Given, No. of Female voters = 90 No. of male voters = 80 Total voters = 90+80 = 170 Random sample of…

Q: You draw 12 cards (without replacement) out of a shuffled deck of 52 cards. Determine the…

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Q: There are 100 balls in a hat. 25 of them are red and 75 of them are black. If one ball is drawn…

A: Answer: From the given data, Total number of balls in a hat = 100 Number of red balls = 25 Number of…

Q: A spinner has an equal chance of landing on either red, blue, or green. You spin six times. Was the…

A: Given colors are  red, blue, or green. So there are 3 colors. The probability of getting red=1/3…

Q: Suppose we have a bowl with 15 marbles : 10 red, 3 green, and 2 blue. We randomly select 4 marbles…

A:

Q: A farmer is going to randomly select an animal from their farm. There are 5 cows, 3 goats, and 12…

A: There are 5 cows, 3 goats and 12 chickens. N=20 animals

Q: There are ten cards with one letter: A, B or C written on them. A person picks each card and…

A:

Q: In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the…

A: number of orange ball in a box = 8 number of blue ball in a box = 7 number of red ball in a box = 6…

Q: Three cards are randomly selected from the deck of 52 cards. What is the probability that the cards…

A: Given data: Three cards are randomly selected from the deck of 52 cards. To find : What is the…

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Given,n=8p=0.55X=no.of people favor the new building projectX~Binomial (n=8 , p=0.55)P(X=x)=nx px…

Q: In a small private​ school, 4 students are randomly selected from 18 available students. What is the…

A: Solution: Given information: n= 18 available students  4 students are randomly selected.

Q: A committee has five members. There are three members that currently serve as the board's chairman,…

A: It is given that a committee has five members. Out of which three members are randomly selected and…

Q: A number is chosen at random from 1 to 99. What is the probability that the number contains 2 or 3?

A:

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

A:

Q: A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is…

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: A poll is given, showing 75% are in favor of a new building project, if 8 people are chosen at…

A: Answer: From the given data, Sample size(n) = 8 p = 75% = 0.75 X follows binomial distribution (n,p)

Q: A bag contains 4 red apples and 5 yellow apples. 3 apples are selected at random. Find the…

A: Given that a bag contains 4 red apples and 5 yellow apples. 3 apples are selected at random. Total…