Question 33
Stephan has two bags, *A* and *B*, each containing red sweets and yellow sweets only.
He picks two sweets at random, one from bag *A* and the other from bag *B*.
The probability that Stephan picks a red sweet from bag *A* is $\frac{3}{5}$.
The probability that Stephan picks a red sweet from bag *A* and a red sweet from bag *B* is $\frac{2}{15}$.
**(b)** Find the probability that Stephan picks a yellow sweet from bag *A* and a yellow sweet from bag *B*.
(In part (a) you found P(red from *B*) $= \frac{2}{9}$.)
He picks two sweets at random, one from bag *A* and the other from bag *B*.
The probability that Stephan picks a red sweet from bag *A* is $\frac{3}{5}$.
The probability that Stephan picks a red sweet from bag *A* and a red sweet from bag *B* is $\frac{2}{15}$.
**(b)** Find the probability that Stephan picks a yellow sweet from bag *A* and a yellow sweet from bag *B*.
(In part (a) you found P(red from *B*) $= \frac{2}{9}$.)
