There are two jars with yellow and green marbles. In jar A there are 5 yellow and 8 green while in jar B there are 2 yellow and 6 green marbles. Two marbles are transferred from jar A to jar B and then one marble is taken from jar B. Find the probability that the marble drawn from jar B is yellow. Given that the marble drawn is yellow, find the probability that it was originally from jar A.

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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1 There are two jars with yellow and green
marbles. In jar A there are 5 yellow and
8 green while in jar B there are 2 yellow
and 6 green marbles. Two marbles are
transferred from jar A to jar B and then one
marble is taken from jar B.
Find the probability that the marble drawn
from jar B is yellow.
Given that the marble drawn is yellow, find
the probability that it was originally from jar A.
Transcribed Image Text:1 There are two jars with yellow and green marbles. In jar A there are 5 yellow and 8 green while in jar B there are 2 yellow and 6 green marbles. Two marbles are transferred from jar A to jar B and then one marble is taken from jar B. Find the probability that the marble drawn from jar B is yellow. Given that the marble drawn is yellow, find the probability that it was originally from jar A.
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