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)

**Example**

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?

**Answer**

P(red) = 4/15

P(yellow) = 6/15

P(red and yellow) = 4/15 x 6/15 = 24/225 = **8/75**