ExamBro
ExamBro
TS EAMCET · Maths · Probability

Bag I contains 3 red and 4 black balls. Bag II contains 5 red and 6 black balls. If one ball is drawn at random from one of the bags, and it is found to be red, then the probability that it was drawn from Bag II, is

  1. A 3368
  2. B 3568
  3. C 3768
  4. D 4168
Verified Solution

Answer & Solution

Correct Answer

(B) 3568

Step-by-step Solution

Detailed explanation

Let, U1 & U2 be the events of the selection of bag I and bag II, respectively. ⇒PU1=PU2=12 Now, PU2R=PU2∩RPR ⇒PU2R=12×51112×37+12×511=3568