**Multiplication Rule for Dependent Events**

We use the multiplication rule for dependent events if the order of events is essential.

**Formula:**

`P(A 1st and B 2nd) = P(A) * P(B|A)`
- `P(A 1st and B 2nd)` - the probability of event A occurring first and event B occurring second, 
- `P(A)` - the probability of event A occurring,
- `P(B|A)` - the probability of event B occurring after event A occured.

**Task example:**

You have a basket with `5` yellow and `15` blue balls. What is the probability that we will take **the blue ball after the yellow**?

1. `P(yellow)` = 5/20 = 0.25 = 25%, 
2. `P(blue|yellow)` = 15/19 = 0.78947 = 78.947% (we tool one yellow ball, so, only 19 left),
3. `P(yellow and blue|yellow)` = P(yellow) * P(blue|yellow) =  25% * 78.947% = 19.737%