Quantitative Aptitude Ques 451

Question: There are two bags A and B. Bag A contains 6 red balls and 10 green balls and bag B contains 4 red balls and 6 green balls. One bag is selected at random. From the selected bag one ball is drawn at random. What is the probability that the ball drawn is red? [SBI (SO) 2016]

Options:

A) $ \frac{27}{80} $

B) $ \frac{31}{80} $

C) $ \frac{39}{80} $

D) $ \frac{20}{80} $

E) $ \frac{33}{80} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Probability of drawing one red from bag $ A=\frac{6}{16} $ Probability of drawing one red from bag $ B=\frac{4}{10} $ Probability to select one bag $ =\frac{1}{2} $

$ \therefore $ Required probably $ =\frac{1}{2}( \frac{6}{16}+\frac{4}{10} )=\frac{31}{80} $