The Venn diagram below shows the 15 students in Ms. Johnson's class.The diagram shows the memberships for the Chess Club and theBasketball Club.Note that "Mai" is outside the circles since she is not a member of eitherclub.One student from the class is randomly selected.Let A denote the event "the student is in the Chess Club."Let B denote the event "the student is in the Basketball Club."(a) Find the probabilities of the events below.Write each answer as a single fraction.P(A) =P(B) =P(A or B) =P(4_and_ B) = ||P(A) + P(B) − P (4 and B) =(b) Select the probability that is equal to P (A) + P (B) − P (A and B).OP (A)OP(A and B)OP (B)OP (A or B)olo?MaiChessDavidChristineTomBasketballJustinAshleyMariaMaryDanteAmyLamarLenaChrisRainalMiguel

Answered: Image /qna-images/answer/e0944c6c-031a-4866-85fc-d80e4f6c92c5.jpg

Answered: The Venn diagram below shows the 15…

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

Similar questions

the following eight people are in the room: two democratic men, three republican men, four democratic women, and five republican women. If you select one person at a ramdom from this room, what is the probability that you will select a woman or democrat?
Determine if the scenario involves mutually exclusive events. Then find the probability
Flip two fair coins. Find the probabilities of the events. a. Let F = the event of getting at most one tail (zero or one tail). b. Let G = the event of getting two faces that are the same. c. Let H = the event of getting a head on the first flip followed by a head or tail on the second flip.
Suppose your top drawer contains 44 different colored socks: 6 are white,16 are black,10 are pink, and12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction.(a) What is the probability that you get a blue pair of socks? (b) What is the probability that you do not get a blue pair of socks? (c) What is the probability that neither is blue? (d) What is the probability that you get either a white pair or a blue pair of socks? (e) What is the probability that you get one black sock and one white sock?
Suppose that a certain college class contains 59 students. Of these, 35 are seniors, 36 are psychology majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a senior and a psychology major? (b) Given that the student selected is a senior, what is the probability that he is also a psychology major? Write your responses as fractions. (If necessary, consult a list of formulas.) a b
A box contains 5 white, 8 green and 3 yellow (gold) marbles. A marble is drawn, its color recorded. Without putting it back, a second marble is drawn and its color recorded. a.Draw the tree diagram representing this experiment. b.Mark the probabilities on each branch of the tree diagram. c.List the possible outcomes of this experiment. Notice order matters so WG is different from GW. d.List the outcomes that comprise each of the following events. i.Event A: No yellow marble is drawn. ii.Event B: The two marbles drawn have the same color.e.What is the probability of getting all 3 colors?
The Venn diagram below shows the 10 students in Mr. Miller's class. The diagram shows the memberships for the Science Club and the Computer Club. Note that "Manuel" is outside the circles since he is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Science Club." Let B denote the event "the student is in the Computer Club." (a) Find the probabilities of the events below. Write each answer as a single fraction. P (A) = || P(B) = || P(4 and B) = P(A or B) = P(A) + P (B) − P (A and B) = - (b) Select the probability that is equal to P (A) + P (B)- P (A and B). OP (A or B) OP (A and B) OP (B) OP (4) Manuel Science Amanda Jim Miguel Charmaine Computer Jina Greg Elsa Yoko Justin
Guadalupe plays a game where she draws one card from a well-shuffled standard deck of 52 cards 2. She wins the game if the card she draws is a King or an Ace Are the two events mutually exclusive? O There is not enough information to determine if the two events are mutually exclusive. O The two events are mutually exclusive. O The two events are not mutually exclusive. What is the probability that Guadalupe wins the game? What is the probability that Guadalupe loses the game?
Ten cards are in a box. The cards are numbered one through ten, respectively. The cards numbered1, 2, 3, 4, 5 are colored red and the cards numbered 6, 7, 8, 9, 10 are colored green. A single card isdrawn from the box at random. Find the following probabilities about that card and the number onthe card:a) P(card is red and an odd number)=b) P(card is a 5 or green) =____________c) P(card is red) =_________
Two cards are drawn from a deck of 52 cards. Find the following probabilities. a) Find the probability both cards are hearts if the cards are drawn with replacement. b) Find the probability both cards are hearts if the cards are drawn without replacement.
An executive has to visit 1 of his 5 plants for an inspection. If these plants are numbered 1, 2, 3, 4, and 5, and if he selects the plant he will visit at random, find the probability that he will do the following. (Enter your probabilities as fractions.) (a) visit plant number 3 (b) visit an odd-numbered plant (c) not visit plant number 5

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS