SOLUTION: If P(A) = 0.35 and P(B)=0.66 and P(A ∩B)= 0.231. Verify whether i)Events A and B are mutually exclusive ii)Events A and B are independent

Question 1172476: If P(A) = 0.35 and P(B)=0.66 and P(A ∩B)= 0.231. Verify whether
i)Events A and B are mutually exclusive
ii)Events A and B are independent
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.


(i)  Events A and B are mutually exclusive if and only if  P(A ∩ B) = 0.


     Since in our case  P(A ∩ B) = 0.231 is not zero, the events A and B are NOT mutually exclusive.




{ii) Check if  P(A)*P(B) = P(A ∩ B).


     This condition is a necessary and sufficient condition for events A and B to be independent.


     You can easily make this simple check on your own.

RELATED QUESTIONS
If A and B are mutually exclusive events with P(A) = 0.75, then... (answered by MathLover1,ikleyn)

Suppose P(A) = 0.25 and P(B) =0.15.If A and B are independent events but not mutually... (answered by ikleyn)

If A and B are mutually exclusive events with P(A) = 0.70, then... (answered by stanbon)

Given that p(A)= 1/4 p(B)= 1/5 p(C)= 1/2 Compute the following 1)... (answered by MathLover1)

If P(A) = 0.20, P(B) = 0.40 and P(A and B) = 0.08, then A and B are: A. dependent... (answered by ewatrrr)

Suppose events A and B are such that P(A) = .4 and P(B) =.3. If A and B are mutually... (answered by fractalier)

You are given the following: P(A)=0.25 P(B)=0.30 P(C)=0.55 P(A and C)=0.05 P(B and (answered by Edwin McCravy)

You are given the probabilities below: P(a) = 0.25 P(B) = 0.30 P(C) = 0.55 P(A and C) (answered by robertb,jim_thompson5910)

The events A and B are mutually exclusive. If P(A) = 0.2 and P(B) = 0.6, what is P(A and... (answered by stanbon)