Q24 of 26 Page 1

If A and B are two independent events such that and then find P(A) and P(B).

Let P(A) =x and P(B)=Y






Since A and B are independent events ∴ are independent events.


Given that,




and





Substituting the value of x in (i), we get





⇒ 15(5y-6y2)=2(6-6y)


⇒ 75y-90y2=12-12y


⇒ -90 y2+87y-12=0


⇒ 30 y2-29y+4=0


Solving the quadratic equation ,we get










for


for


Hence,



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