Question

How do overlapping events differ from mutually exclusive events?

Answer 1

See explanation.

Explanation:

Two events are mutually exclusive if they cannot occur at the same time (i.e. their intersection is the empty set).

If the intersection of 2 events is not empty, they are overlapping.

Example 1:

`A` - a prime number is thrown on a single die.

`B` - an even number is thrown on a single die.

These two events are overlapping because number `2` is both prime and even, so

`AnnB={2}`

Example 2:

`A` - an even number is thrown on a die

`B` - an odd number is thrown on a die

These two events are mutually exclusive because there are no numbers which are odd and even at the same time, so

`AnnB=O/`