Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contains 3 white balls and 8 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?

Question

anonymous · Answer

1st urn          2nd urn 
white     3                3
yellow    6                8

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

whats the probability for getting white ball from 1st urn ?

anonymous · Answer

3/9

ganeshie8 · Answer

yes, save it.

whats the probability for getting white ball from 2nd urn ?

anonymous · Answer

3/11

ganeshie8 · Answer

yes !

$P(W_1 ~ AND~W_2 )   =   P(W_1)  \times P(W_2)$  since the events are independent

ganeshie8 · Answer

simply multiply both the probabilities

ganeshie8 · Answer

$$\dfrac{3}{9} \times \dfrac{3}{11}$$

anonymous · Answer

.09

ganeshie8 · Answer

$\dfrac{1}{11} \approx  0.09$  is $\large \color{red}{\checkmark}$

anonymous · Answer

thanks