If A, B and C are three events, then what is the probability that at least two of these events occur together?

Two independent events A and B are such that P(A $$\cup$$ B) = $${2 \over 3}$$ and P(A $$\cap$$ B) = $${1 \over 6}$$. If P(B) < P(A), then what is P(B) equal to ?

If two fair dice are rolled, then what is the conditional probability that the first dice lands on 6, given that the sum of numbers on the dice is 8 ?

Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?