Question

9. If P(A): P(A) = 3:7, then P (A) = ​

Answer 1

A N S W E R :

• See Attachment !!

Answer 2

Given,

$P(A): P(\bar A ) = 3:7$

Taking the common ratio between $P(A) \,\,and \,\,P(\bar A)$ as $x$ we get,

$P(A) = 3x\\P(A') = 7x$

We know that some of the probabilities of an event is 1,

$P(A) +P(\bar A) = 1\\\implies 3x+7x=1\\\implies x = \frac{1}{10}\\\therefore x = 0.1$

So, now,

$P(A) = 3x = 3(0.1) = \bf 0.3$

$\\ P(\bar A) = 7x = 7(0.1) = \bf 0.7$

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