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Grade upto college level Algebra

Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then two balls are drawn at random (without replacement) from Bag II. The balls so drawn are found to be both red in colour. Find the probability that the transferred ball is red.

Profile image of prashant kashya
12 Years agoGrade upto college level
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1 Answer

Profile image of SHAIK AASIF AHAMED
12 Years ago
Hello student,
Let E1 : transferred ball is red.
E2 : transferred ball is black.
A : Getting both red from 2nd bag (after transfer)
P(E1)=3/7,P(E2)=4/7
P(A/E1) = 5c2/10c2=2/9
,P(A/E2) = 4c2/10c2=2/15
P(E1/A) = ((P(E1) P(A|E1))/ P(E1)P(A|E1)+P(E2)P(A|E2)
= 5/9
Thanks and Regards
Shaik Aasif
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