The Venn diagram below shows the 11 students in Ms. Garcia's class.The diagram shows the memberships for the Spanish Club and theDance Club.Note that "Susan" and "Lena" are outside the circles since they are notmembers of either club.One student from the class is randomly selected.Let A denote the event "the student is in the Spanish Club."Let B denote the event "the student is in the Dance 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(A and 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 (B)OP (A or B)OP (A)OP (A and B)oloXS ?SusanLenaSpanishShenHongMariaChrisDanceAhmadChangKeishaLeilaJane

here Given , there are total 11 students in sample space A = event that student is in the spanish…

Answered: (a) Find the probabilities of the…

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...

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Suppose an airline found that about 7% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose that the airline overbooks this flight by selling 226 ticket reservations for an airplane with only 219 seats. Let n = 226 represent the number of ticket reservations. Let r represent the number of people with reservations who show up for the flight. Which expression represents the probability that a seat will be available for everyone who shows up holding a reservation: Expression I : P(r ≥ 226) Expression II : P(r ≥ 219) Expression III : P(r ≤ 226) Expression IV : P(r ≤ 219) Expression V : P(r = 219) a. Expression II b. Expression III c. Expression I d. Expression V e. Expression IV
could you write out steps for b and c please
T7
For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3D
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A charity sells 1000 tickets for a lottery to raise money. 10 tickets will be chosen at random to win prizes: 1 $100 prize, 2 $50 prizes, and 7 $10 prizes. The other tickets will win nothing. Suppose you buy 1 ticket. Let P(x) = probability of winning x dollars. Match the following questions to their answers: P($100) + P($50) + P($10) + P($0)=? Choose... Choose... What is the probability that you win exactly $50 1/100 1 What is the probability that you do not win anything? 1/500 99/100
← A cooler contains 100 ice cream bars. There are 10 Vanilla bars, 40 Mint Chocolate Chip bars, 30 Strawberry bars, and 20 Rocky Road bars. If one bar is randomly selected determine the probability that the bar selected is not Mint Chocolate Chip. The probability that the bar selected is not Mint Chocolate Chip is (Type an integer or a simplified fraction.) C

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(a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = || P (B) = P(A or B) = || P(A and 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).