# Dependent Events

How to solve dependent events problems (probability): example and its solution.

## Example

In the first selection,

the probability of selecting a gray card is 8/15.

In the second selection,

there are 7 gray cards

and 7 white cards in the bag.

So the probability of selecting a gray card is 7/14.

The probability changed

because the number of the cards have changed

and there's no replacement.

So the first selection

did affect the second selection.

Just like this case,

if the first event did affect the next event,

then those two events are called dependent events.

So the probability is (8/15)⋅(7/14) = (8/15)⋅(1/2).