**
Conditional probability.
Independence of events
**

**
**

*
Conditional probability.
Independent and dependent events.
*

The probability of occurrence of an
event
*
A
*
at the condition, that an event
*
B
*
takes
place, is called
**
**

**and calculated by the formula:**

*the conditional probability*

where
*
À
*
,
*
Â
*
*
Å
*
,
*
Ð
*
*
*
(
*
Â
*
)
0.

The events
*
À
*
,
*
Â
*
*
Å
*
are
**
independent
**

**, if**

*events**Ð*(

*À*

*Â*) =

*Ð*(

*À*) ·

*Ð*(

*Â*).

Otherwise, the events
*
À
*
and
*
Â
*
are called
**
dependent
**

**.**

*events*