If A and B are two events such that P(A B)=0.1, and P(A B) and P(B A) are the roots of the equation 12x2-7x+1=0, then the value of P( A B)P( A B) is :
- 43
- 74
- 94
- 53
Answer
(3) 94
Solution
12x2-7x+1=0 x= 13, 14; so P(A),P(B)= 0.11/3, 0.11/4=0.3, 0.4
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P(A B)=0.3+0.4-0.1=0.6
P( A B)=1-P(A B)=0.9
P( A B)=1-P(A B)=0.4
ratio = 94
Answer: (3)