A and B are two events such that P(A)= 0.8, P(B) = 0.6 and P `(Ann B) = 0.5,` then the value of P(A/B) is

Options

A. `5/6`
B. `5/8`
C. `9/10`
D. `5/7`

Answer

To find the value of \( P(A | B) \), we can use the formula for conditional probability:

\[ P(A | B) = \frac{P(A \cap B)}{P(B)} \]

### Step-by-Step Solution:

1. **Identify the Given Values:**
- \( P(A) = 0.8 \)
- \( P(B) = 0.6 \)
- \( P(A \cap B) = 0.5 \)

2. **Substitute the Values into the Formula:**
- We need to calculate \( P(A | B) \):
\[ P(A | B) = \frac{P(A \cap B)}{P(B)} = \frac{0.5}{0.6} \]

3. **Simplify the Fraction:**
- To simplify \( \frac{0.5}{0.6} \), we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[ P(A | B) = \frac{5}{6} \]

4. **Final Result:**
- Therefore, the value of \( P(A | B) \) is:
\[ P(A | B) = \frac{5}{6} \]

### Conclusion:
The answer is \( \frac{5}{6} \).