If P (E ) =0.68 then the value of P `( barE)` will be :

Options

A. 1.32
B. `-0.68 `
C. `3.2`
D. `0.32 `

Answer

To find the value of P(E') (the probability of the complement of event E), we can use the fundamental property of probabilities. The sum of the probabilities of an event and its complement is always equal to 1.

### Step-by-Step Solution:

1. **Identify the given probability**:
We are given that P(E) = 0.68.

2. **Use the complement rule**:
The probability of the complement of event E, denoted as P(E'), can be calculated using the formula:
\[ P(E') = 1 - P(E) \]

3. **Substitute the value of P(E)**:
Now, substitute the value of P(E) into the formula:
\[ P(E') = 1 - 0.68 \]

4. **Perform the calculation**:
\[ P(E') = 1 - 0.68 = 0.32 \]

5. **Conclusion**:
Thus, the value of P(E') is 0.32.

### Final Answer:
P(E') = 0.32

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