A ba contains 5 red and 4 white identical balls abd a second bag contains 3 red and white identical balls

Question

If one ball ios selected at random from each of the bags,
Find the probability that, two balls selected will be of
I)different colour
Ii)same colour

Answer 1

Assuming bag2 contains 3 red and 3 white balls,

P(r,r) = 5/9 * 1/2
P(w,w) = 4/9 * 1/2
so, 1/2

seems strange, no?
But think. No matter what color ball you pick from bag #1, there is a 50-50 chance that the ball from bag2 will match it.

If I got the ball count wrong for bag2, just adjust the 2nd probabilities above.