Probability of Or

I found this online:

• Definition: Probability of or for mututally exclusive events If two events: E, F are mutually exclusive then the probability of E or F occurring is: P (E or F) = P (E) + P (F) This property applies regardless of how you calculate the probability of E or F. Moreover, the idea extends to more than two events.

1. What is meant by MUTUALLY EXCLUSIVE?
2. Can rephrase the above definition using layman terms?

 

1. The meaning of MUTUALLY EXCLUSIVE is being related such that each excludes or precludes the other; also : incompatible.

2.
If two events are mutually exclusive then the probability of both the events occurring at the same time is equal to zero. P(A and B) = 0

If A and B are two mutually exclusive events, then probability of A or B is equal to the sum of probability of both the events.
P(A or B) = P(A) + P(B)

 

I gather that mutually exclusive events happen at the same time.

Sample A

I can sit and talk. Mutually exclusive.

Sample B

Swim and drown are not mutually exclusive.

Yes?

 

Mutually exclusive events are events that can not happen at the same time. Examples include: right and left hand turns, even and odd numbers on a die, winning and losing a game, or running and walking.

Non-mutually exclusive events are events that can happen at the same time.

 

Cool. Are my two samples correct?

 

I can sit and talk. Non-mutually exclusive.(you can sit and talk at the same time)

Swim and drown is correct

 

Ok. I like this probability stuff. A bit fuzzy but I like it.