8. Three students, Esther, Jean and Ruth are in a race. Esther is twice as likely to win as Jean,and Jean is trice as likely to win as Ruth. Find the probability thata. Esther winsb. Jean winsc. Esther or Jean winsd. Esther or Ruth winse. Jean or Ruth wins

It is given that P( Jean ) = 3*P( Ruth ) P( Esther ) = 2*P( Jean ) Note: According to Bartleby…

Answered: 8. Three students, Esther, Jean and…

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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Similar questions

Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains two defective phones and box 2 contains one defective phone. After the boxes are unpacked, and all phones are mixed. Then a phone is selected and that was found to be defective. Find the probability that it came from box 2.
Two fair dice are rolled. Event A = {the sum on the two dice is less than seven} Event B = {the two dice show the same number} Event C = {the numbers on the two dice differ by four} i. Find the probability of event A or event B occurring. ii. Find the probability of event A and event C occurring.
Ms V has a box with 10 bags of M&Ms and 15 bags of Skittles. She is going to reach in and pick three bags of candy. What is the probability she picks at least one bag of skittles? (round your answer to one nonzero digit.)
A box contains 8 white and 5 red balls. If 3 balls are selected at random find the probability that one white and 2 red balls. a. 0.2797 b. 0.9371 c. 0.7203 d. 0.0629
An urn contains 10 red marbles, 7 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. a. Find the probability all three marbles are the same color. b. Find the probability that none of the three marbles are white.
Five marbles are to be chosen at random from 8 red marbles and 5 yellow marbles. Find the probability that a. All 5 marbles are red. b. At least 2 marbles are red. c. 3 marbles are red and 2 marbles are yellow.
65% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability that a. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class.
64% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability thata. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class.
Three students ABC are in a running race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins.

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8. Three students, Esther, Jean and Ruth are in a race. Esther is twice as likely to win as Jean, and Jean is trice as likely to win as Ruth. Find the probability that a. Esther wins b. Jean wins c. Esther or Jean wins