Question

one bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from 1st bag to 2nd bag. Then a ball is drawn from 2nd bag. Find the probability that ball drawn is white?

Answer 1

hope it's helpful.........

Answer 2

Answer:

$P(W2) = \frac{15}{17}$

Step-by-step explanation:

One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from 1st bag to 2nd bag. Then a ball is drawn from 2nd bag. Find the probability that ball drawn is white?

On randomly selection of a ball from bag 1,it might be a white or a black ball.

Probability of getting white ball from bag 1

$P(w1) = \frac{5}{9}$

Probability of getting black ball from bag 1

$P(b1) = \frac{4}{9}$

If white ball taken out from bag 1 and transfered to bag2,and taken out a ball,Probability of getting a white ball from bag 2

$P(ww) = \frac{8}{17}$

If black ball taken out from bag 1 and transfered to bag2,and taken out a ball from bag 2,Probability of getting a white ball from bag 2

$P(bw) = \frac{7}{17}$

Total Probability :

$\frac{8}{17} + \frac{7}{17} \\ \\ = \frac{8+7}{17} \\ \\ p(w2) = \frac{15}{17}$

Hope it helps you.