Probability

Question 1

How can you tell if events are mutually exclusive

Answer 1

P(A and B)=0

Question 2

What is P(A or B)

Answer 2

P(A) + P(B) - P(A and B)

Question 3

How to tell if events are collectively exhaustive

Answer 3

P(A or B) =1

Question 4

How to calculate P(A |B)

Answer 4

P(A and B)/ P(B)

Question 5

How to calculate P(A and B) using conditional probability

Answer 5

P(A and B)= P(B) x P(A|B)
or
P(A and B) = P(A) x P(B|A)

Question 6

So, using conditional probability to find P(A and B) for numerator what is Bayes’ Theorem equation

Answer 6

P(A|B) = P(A) x P(B|A)/ P(B)

Question 7

What is P(A and B) if events are independent

Answer 7

P(A X B)

Question 8

If events are independent what is P(A|B)

Answer 8

P(A)