SOLUTION: If two events are mutually​ exclusive, why is Upper P left parenthesis Upper A and Upper B right parenthesis equals 0P(A and B)=0​?

Algebra.Com
Question 1151544: If two events are mutually​ exclusive, why is
Upper P left parenthesis Upper A and Upper B right parenthesis equals 0P(A and B)=0​?

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


By definition, mutually exclusive means they can't both be true at the same time.

P(A and B) is the probability that they are both true at the same time.

Since they can't be true at the same time, the probability is 0.


Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

Hey, we live in XXI century, for your info.


In this century, and just three hundred years (at least), nobody writes a Math text as you do.

If you able to write P(A and B) = 0, it is just fully enough to express your thought.

Had you write in correct way, I'd refer you to sources to read about the mutually exclusive events.

But since you write in this way as you do, I better will leave you without this reference.



RELATED QUESTIONS

Use the compound interest formula Upper A equals Upper P left parenthesis 1 plus r right... (answered by ikleyn)
Physics: Pendulum. The period left-parenthesis Upper T ⁢ right-parenthesis of a... (answered by fractalier)
Given the cost function Upper C left parenthesis x right parenthesisC(x) and the revenue... (answered by Boreal)
Upper P left parenthesis x overbar greater than 89.65 right... (answered by ikleyn)
Let Upper X be the number of years before a particular type of machine will need... (answered by stanbon)
Strontium 90 is a radioactive material that decays according to the function Upper A left (answered by ikleyn,josgarithmetic)
If np greater than or equals ≥5 and nq greater than or equals ≥​5, estimate... (answered by ikleyn)
Total profit P is the difference between total revenue R and total cost C. Given the... (answered by Theo)
If np greater than or equals 5np≥5 and nq greater than or equals... (answered by ikleyn)