If A and B are two independent events, the probability that both A and B occur is 1/8 are the probability that neither of them occours is 3/8. Find the probaility of the occurrence of A.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Define the Probabilities
Let the probability of event A be \( P(A) = x \) and the probability of event B be \( P(B) = y \).

### Step 2: Use Given Information
From the problem, we know:
1. The probability that both A and B occur is given by \( P(A \cap B) = P(A) \cdot P(B) = xy = \frac{1}{8} \).
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