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Xem uch sù D?u trang Moi ngu?i C?a s? Tr? giúp Do Homework- Natalie Nguyen Bao m

ID: 2409639 • Letter: X

Question

Xem uch sù D?u trang Moi ngu?i C?a s? Tr? giúp Do Homework- Natalie Nguyen Bao mat https:/www.mathxd.com/S A? Trang nly bing Ting Anh ^ Ban có maónach trang này không? BUS 14A Section 35055 Canvas aspx homeworkld 475471190&questionild-1;&flushed-false;&cid-4; ABan kho ngay hay Không D?ch Natalie Nguyen&1 6/12/18 10:42 PM Homework: Chapter 7 Review Homework Score: 0 of 2 pts x7.6.7 Save 16 of 17 (16 complete) Y Hw Score: 6396, 1575 of 25 pts Question Help Suppose you have 3 jars with the foilowing contents Jar 1 has 3 white balls and 2 biack black ball. One jar is to be selected, and than 1 ball is to be drawn from the selected jar. The probabilisies of selecting the first /6 respectively Find the probablity the ball was drawn from Jar 2, given that the ball is white second, and thied jars ae 1/2. 113, and What is the probability the ball was drawn from Jar 2, given that the ball is white? Bimolty your answer Type an integer or a fraction) Enter your answer in the answer All parts showing Copyright 2018 Peaon Educasion

Explanation / Answer

Solution:

Let W be the event that the ball is white.

Let J1, J2, J3 be the events that the ball comes from jar 1, jar 2, jar 3, respectively. Using the three branches that end in white,

we find P(W) = ( 1/2 )(3/5 ) + (1/3 )(1/5 ) + (1/6 )( 1/2 ) = 9/20

Also, P(J2 ? W) = (1/3 )( 1/5 ) = 1/15

Therefore

P (J3/W) = P(J2 ? W) / P(W) = (1/15) / (9/20) = 4/27 = 0.148148