There are 20 students who will join either volleyball team, or basketball team or both. If 12 students will join volleyball and 15 students will join basketball, what is the probability that the students will join both?

There are 20 students who will join either volleyball team, or basketball team or both. If 12 students will join volleyball and 15 students will join basketball, what is the probability that the students will join both?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A jar contains three different colored seeds, 23 brown seeds, 14 green seeds, and 5 yellow seeds. If…

A: A jar contains three different colored seeds, 23 brown seeds, 14 green seeds, and 5 yellow seeds…

Q: A box contains 8 red, 5 white, 6 blue and 11 black marbles. If one marble is taken from the box,…

A: we have 8 red , 5 white , 6 blue and 11 black marbles if one marble is taken from the box, find the…

Q: If one card is drawn from a deck, find the probability of getting A king and a heart?

A: standard deck of 52 cards. select one at random p( A king and a heart ) = ?

Q: If two cards are drawn without replacement from an ordinary deck, find the probability of a king…

Q: There are 5 dark chocolates, 8 milk chocolates in a box. If one chocolate is selected from the…

A: Answer: From the given data, Number of dark chocolates in the box = 5 Number of milk chocolates in…

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: A bag of marbles contains 9 blue, 5 green, 8 red, 6 yellow, and 2 black marbles. If you reach in the…

A: Given that a bag of marbles contains 9 blue, 5 green, 8 red, 6 yellow, and 2 black marbles. Total…

Q: The local animal shelter has kittens for adoption. There are 2 black, 3 grey, and 5 multi-colored…

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: A bag contains 2 red , 3 blue and 5 green marbles. Mike picks one marble from the bag , then picks a…

A: Given that the bag contains 2 red, 3 blue and 5 green marbles. Total number of marbles is 2+3+5=10.…

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: A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of…

Q: The probability that a boy will get a scholarship is 0.9 and that a girl will get is 0.8. What is…

Q: Jason, Lewis, and Nora will be placed in a line along with 7 other people. What is the probability…

A: Total number of persons = 10 First we have to determine the total number of ways in which 10 persons…

Q: If one card is drawn from a well shuffled deck of 52 cards, find the probability of drawing a heart…

A: From the provided information, Total cards in deck = 52 Total heart card = 13

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A: Given that, 5 students play soccer 5 students not paly soccer Total students =10 students

Q: A history class is comprised of 5 female and 10 male students . If the instructor of the class…

A: Given: Number of females = 5 Number of males = 10 Total number of students = 5+10…

Q: Three Hatfields and five McCoy's are up for 3 construction jobs in Williamson. What is the…

A: The number of Hatfields = 3The number of McCoy's = 5Total number of construction jobs in wiliamson =…

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: Ana and Bianca are pals who work on a 20-person team. Their manager will pick two persons at random…

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: If two cards are drawn without replacement from an ordinary deck, find the probability of an ace…

A: P(an ace and a 3 being drawn)=?

Q: There are 3 couples, 3 women and 3 men and they are seated in a row. What is the probability that…

A: There are 3 couples in which 3 women and 3 men. The number of possible outcomes this 6 people can be…

Q: open up a bag of M&M's to discover 44 pieces of chocolate. 12 of the pieces are blue. If I…

A: Given Total 44 pieces of chocolate 12 are blue

Q: A bag of M&Ms contains 12 blue, 6 brown, 10 orange, 8 yellow, 8 red, and 4 green M&Ms. Reaching…

A: 12 blue 6 brown 10 orange 8 yellow 8 red 4 green _______________ 48 total M&Ms grab 5 at random.…

Q: A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Answer - A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. Total = 8…

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: Six Hatfields and three McCoys are up for 3 construction jobs in Williamson. What is the probability…

A: Probability formula:It is given that 6 Hatfields and 3 McCoys are up for 3 construction jobs. 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 fish = 14 Trout = 7 Bass = 4 Sardines = 3

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 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: If 4% of the passengers traveling to San Francisco have their luggage lost, what is the probability…

A: given data P(luggage lost) = p = 0.04 n = 150 peoples x = no. of people lost their luggage P(x≥5)…

Q: In a group of girls there are 10 girls with blue eyes, 12 girls with brown eyes and 6 girls with…

A: Given: The number of girls with blue eyes are 10. The number of girls with brown eyes are 12. The…

Q: A man and a woman got married and decided to have 5 children. What is the probability that the…

A: A man and a woman got married and decided to have 5 children.∵P(girl)=P(boy)=0.5P(the couple will…

Question

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A couple goes on the bus together and spots 6 empty seats in a row. As they go towards the seats, four other people do as well. If the outcome is random, what is the probability that the couple will get two seats together?
If I have a bag with 3 red, 4 white, 1 green, and 2 blue marble. What is the probability that I choose and keep a red marble and then pick a blue marble?
If two people are chosen with replacement from the data, what is the probability that both are wearing athletic shoes and the second is a woman wearing dress shoes?
A bag contains 5 red marbles, 7 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be red?
A bag contains 3 red, 6 white and 7 black balls, What is the probability that two balls drawn are white and black ?
If one card is drawn, what is the probability of drawing an ace or a 3?
A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green and 4 are yellow. What is the probability of choosing one candy and getting a blue?
A bag contains 4 blue marbles and 5 red marbles. If two marbles are drawn one after the other without replacement, what is the probability of getting 1 red and 1 blue marble.
A box has 3 red balls and 4 yellow balls. What is the probability of getting two red balls, if you randomly choose one ball from the box, replace it, and then choose another ball? "
An undergraduate research committee consisting of 4 people is to be formed form 12 doctoral students and 4 supervisors. Find the probability that the committee will consist of exactly 2 doctoral students.
Kim has a bag of 10 white marbles and 15 black marbles. What is the probability that she will choose to marbles that are both the same colour without replacement
A jar contains 2 red marbles, 8 green marbles, and 5 blue marbles. What is the probability that you draw 3 green marbles in a row if you do replace the marbles after each draw? = What is the probability that you draw 6 blue marbles in a row if you don't replace the marbles after each draw?