A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. Find `P(A)` , it being given that `P(B)=3/2P(A)` `a n d` `P(C)=1/2P(B)dot`

Explanation

To solve the problem step by step, we will follow the information given about the probabilities of the events A, B, and C.

### Step 1: Understand the relationship between the probabilities
We are given:
- \( P(B) = \frac{3}{2} P(A) \)
- \( P(C) = \frac{1}{2} P(B) \)

Since A, B, and C are mutually exclusive and exhaustive events, we know that:
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