Urn 2 has 2 white balls and 1 red ball.

a ball is then randomly picked from urn 1 and placed into urn 2

what is the probability of picking a white ball from urn 2?

i think ive done it wrong...

there is 0.33 prob that a white ball will be picked from urn 1

if the white ball then goes into urn 2, there is 0.75 prob that a white ball will be picked from urn 2

from this i then multiplied the 2 together 0.33*0.75 and got 0.2475, but this seems wrong because even if a red ball was moved into urn 2, there would be a 0.5 prob that a white was picked from it.

can someone help me find out where ive gone wrong.

Thanks