SOLUTION: i have problem with this ques..plz will u help me... 1)If P(A)=1/3 and P(B)=3/5 and p(A U B)=14/15, then what type of events they are. By what number should P(A) be multiplied to

Algebra ->  Probability-and-statistics -> SOLUTION: i have problem with this ques..plz will u help me... 1)If P(A)=1/3 and P(B)=3/5 and p(A U B)=14/15, then what type of events they are. By what number should P(A) be multiplied to       Log On


   



Question 71565: i have problem with this ques..plz will u help me...
1)If P(A)=1/3 and P(B)=3/5 and p(A U B)=14/15, then what type of events they are. By what number should P(A) be multiplied to make them independent?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
General formula: P(A or B) = P(a)+P(b)-P(A and B)
Substituting given values you get: 14/15 = (1/3)+(3/5)-P(A and B)
Then: 14/15 = (5+9)/15 -P(A and B)
Then: P(A and B) = 0
Therefore A and B are mutually exclusive.
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For A and B to be independent P(A)*P(B) = P(A and B)
You have a value for P(A) and P(B) but none for P(A and B);
I don't see how you would do the problem.
Cheers,
Stan H.