A boy has 10 identical marbles in a container consisting of a 6 red and 4 blue marble. He draws two marbles at random one after the other without replacement. Find the probability that:

A) both draws are of different colours

AAAaannndd the bot gets it wrong yet again!

even the math gets done wrong, since 6/10 * 4/9 = 4/15, not 2/5

P(r,b) = 6/10 * 4/9 = 4/15
P(b,r) = 4/10 * 6/9 = 4/15
so P(different) = 8/15

The probability that both draws are of different colours is 6/10 x 4/9 = 2/5.