Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found to be black in color. Find the probability that the transferred ball was red.

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Chapter1: Combinatorial Analysis
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Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One
ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so
drawn is found to be black in color. Find the probability that the transferred ball was red.

ring Exce
5. A secondary school is offering two extracurricular classes, one in Photography and the
other in Swimming. These classes are open to all of the 250 students in the school.
Suppose there are 48 students in the Photography class, 34 in the Swimming class, and
12 who are in both classes. If a student is randomly chosen, what is the probability that
this student is not enrolled in any one of these classes?
6. Assume that the chances of a patient suffering from high blood pressure is 60%. It is
also assumed that a course of meditation reduces the risk of high blood pressure by
45% and prescription of certain drugs reduces its chances by 55%. At a time, a patient
can choose any one of the two options with equal probabilities. It is given that after
going through one of the two options, the patient selected at random does not suffer
from high blood pressure. Find the probability that the patient chose a course of
meditation?
7. Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One
ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so
drawn is found to be black in color. Find the probability that the transferred ball was red.
Transcribed Image Text:ring Exce 5. A secondary school is offering two extracurricular classes, one in Photography and the other in Swimming. These classes are open to all of the 250 students in the school. Suppose there are 48 students in the Photography class, 34 in the Swimming class, and 12 who are in both classes. If a student is randomly chosen, what is the probability that this student is not enrolled in any one of these classes? 6. Assume that the chances of a patient suffering from high blood pressure is 60%. It is also assumed that a course of meditation reduces the risk of high blood pressure by 45% and prescription of certain drugs reduces its chances by 55%. At a time, a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random does not suffer from high blood pressure. Find the probability that the patient chose a course of meditation? 7. Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found to be black in color. Find the probability that the transferred ball was red.
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