If two events, A and B, do not affect each other then they are independent.
The probability of A and B happening is the product of their individual probabilities.
P (A and B) = P (A) x P (B)
A bag contains 4 red counters, 5 blue counters and 6 yellow counters.
One counter is selected at random and replaced.
A second counter is then selected.
What is the probability that the first counter is red and the second counter is yellow?
P(red) = 4/15
P(yellow) = 6/15
P(red and yellow) = 4/15 x 6/15 = 24/225 = 8/75