There are 5 white balls and 4 black balls in a bag. Second bag contains 7 white balls and 9 black balls. one ball is transferred from first bag to second. a single ball is taken out from second bag. What is the probability that the ball is white.
Choose the correct answer.
A) 2/9  B) 3/9  C) 4/9  D) 5/9  E) 6/9
lets divide this into 2 cases   case 1:When a black ball is transferred from bag 1 to 2   (4/9)*(7/17)=28/153   case 2: When a white ball is transferred from bag 1 to 2   (5/9)*(8/17)=40/153   total probability=(28/153)+(40/153)=4/9   ANSWER:4/9
<result>C</result>
There are 5 white balls and 4 black balls in a bag. Second bag contains 7 white balls and 9 black balls. one ball is transferred from first bag to second. a single ball is taken out from second bag. What is the probability that the ball is white.