If P(A):P(A dash)=4:5, find P(A).

1.	If P(A):P(A dash)=4:5, find P(A).
Answer» We know that P(A') = 1 - P(A) Given , \({P(A) \over P(A')} = {4 \over 5}\) ⇒ \({P(A) \over 1-P(A)} = {4 \over 5}\) ⇒\(5P(A) = 4 - 4P(A)\) ⇒\(9P(A) = 4\) ⇒\(P(A) = {4 \over 9}\)

Answer»

We know that

P(A') = 1 - P(A)
Given ,

\({P(A) \over P(A')} = {4 \over 5}\)

⇒ \({P(A) \over 1-P(A)} = {4 \over 5}\)

⇒\(5P(A) = 4 - 4P(A)\)

⇒\(9P(A) = 4\)

⇒\(P(A) = {4 \over 9}\)

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If P(A):P(A dash)=4:5, find P(A).

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