Question 1168025: Suppose that a single fair die is rolled one time. Let events A and B be defined as:
A = { 1, 4, 5 } and B = { 2, 4, 5, 6 }
Are A and B mutually exclusive events? Why or why not?
Are A and B independent events? Show why or why not?
Please help me figure this out! On my last test, I had a similar question but with 3 digits and wrote independent and got it wrong!
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! No, because elements are common to both sets. If A were {1,2,3} and B were {4,5,6} then they would be.
P(A)*P(B)=P(Both A and B) if independent
1/2*2/3=1/3 if independent , and that is true.
Answer by ikleyn(52798)  (Show Source):
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