Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

A:

Q: A physics class has 40 students. Of​ these, 15 students are physics majors and a total of 14…

A: From the provided information,A physics class has 40 students. Of​ these, 15 students are physics…

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

A: GivenFor male:- No.of smokers = 76No.of non-smokers=114Total no.of male students = 190For…

Q: bag contains 4 blue balls and 8 red balls. If two are drawn from the bag at random, what is the…

A:

Q: There are 40 students in a class and 4 midterms. What is the probability that someone has a midterm…

A: Given data: The total numbers of students are n=40. The numbers of midterms are m=4.   The…

Q: There are 14 fish in a pond: 7 trout, 4 bass, and 3 sardines. If I fish up 5 random fish, what is…

A: Given, Total number of fishes in a pond =14 Number of trout fishes in a pond =7 Number of bass…

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: Eight people in the class are left-handed . If there are 32 students in the class, what is the…

A:

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: A physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are…

A:

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: Among contestants in a competition are 49 woman and 29 men. If 5 winners are selected, what is the…

A: Obtain the probability that they are all woman. The probability that they are all woman is obtained…

Q: A club of 27people consists of 14 men and 13 women. A team of 9 is randomly selected from the club.…

A:

Q: A box contains 25 balls, 15 green and 10 red balls. Two balls are picked up, what is the probability…

A: Solution: From the given information a box contains 15 green and 10 red balls. Here, two balls are…

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: A poker hand, consisting of 4 cards, is dealt from a standard deck of 52 cards. Find the probability…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: There are 20 students who will join either volleyball team, or basketball team or both. If 12…

A: The number of student join both is   N(A or B) =N(A)+N(B)-N(A and B) N(A and B)= N(A)+N(B)- N(A or…

Q: A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the…

A: Probability is a chance of getting a possible outcome of any random event. It is defined as the…

Q: ag with 10 marbles has 2 red marbles, 4 yellow marbles, and 4 blue marbles. A marble is chosen from…

A: given data, 2- red 4-yellow4-blue10- total marbles

Q: open up a bag of M&M's to discover 48 pieces of chocolate. 11 of the pieces are blue. If I…

A: Total chocolate are 48 11 pieces are blue

Q: An assorted snack tray has 3 popcorn bags, 4 granola bars, and 6 apples. What is the probability…

A:

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

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

Q: A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a King or…

A: Given: Number of cards in a deck= 52 Number of Kings = 4 Number of Queens = 4 Number of Jacks = 4

Q: There’s 7 red balls,13 green balls, 9 orange balls, 2 purple balls, and 8 yellow balls. One ball is…

A: To find the probability that the randomly chosen ball is red or yellow:

Q: A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag.…

A: Given Total number of marble=20 Number of blue marble=3

Q: a small private school, 4 students are selected from 16 available students. What is the probability…

A: Given data, Total Number of students n=16 Number of students selected is r=4 What is the probability…

Q: There are 10 000 laptops in a warehouse, out of which 10 are defective. Two laptops are selected at…

A: We have given that  Total number of laptops 10000 , out of which 10 defective. Two laptops are…

Q: A bag contains fibe green marbles,3 red marbles,and 4 white balls.What is the probability that a red…

A: Given, A bag contains 5 green balls,3 red balls, and 4 white balls To find the probability that a…

Q: A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected…

A: Given data, Red marbles=4 Blue marbles=3 Green marbles=7 Total no of marbles=14 P(Marble is blue)=?

Q: A tennis club consists of 10 boys and 8 girls, of which 4 boys and 2 girls are randomly selected to…

A: The objective of the question is to find the probability that Aiden, Brian, and Diana are chosen to…

Q: A history class is comprised of 9 female and 5 male students.if the instructor of the class randomly…

A: There are 14 students in the class (= 9 female + 5 male).

Q: A basket contains 6 blue, 2 red, 4 green and 3 yellow balls. If three balls are picked up at random,…

A: A basket contains 6 blue, 2 red, 4 green and 3 yellow balls.Total number of balls contains in…

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

A: From the given information, it is clear that There are, 8 red balls so, nR=8 7 blue red balls so,…

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: There are 65 adults and 15 children in a movie theater. Of these people, 41 adults and 6 children…

A: Given: Number of adults=65Number of children=15Total person who bought popcorn=47n=80 The…