If P(A): P(A/) = 3:5, then P(A) =
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P(A) : P(A') = 3 : 5
let the common factor of the ratios be x,
Now,
P(A) : P(A') = 3x : 5x
We know,
==> P(A) + P(A') = 1
==> 3x + 5x = 1
==> 8x = 1
==> x = 1/8
P(A) = 3x
==> 3 × 1/8
==> 3/8
Hence, P(A) is 3/8
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