If the probability of raining tomorrow is 0.75, then the probability that it will not rain tomorrow, is:

Options

A. `1/4`
B. `3/4`
C. `1/2`
D. `1/3`

Answer

To solve the problem, we need to find the probability that it will not rain tomorrow given that the probability of raining tomorrow is 0.75.

**Step-by-Step Solution:**

1. **Identify the Probability of Rain**:
The probability of raining tomorrow is given as \( P(\text{Rain}) = 0.75 \).

2. **Use the Complement Rule**:
The probability that it will not rain tomorrow can be found using the complement rule. The sum of the probabilities of an event and its complement is always equal to 1. Therefore, we can express this as:
\[ P(\text{No Rain}) = 1 - P(\text{Rain}) \]

3. **Substitute the Known Probability**:
Now, we substitute the known probability of rain into the equation:
\[ P(\text{No Rain}) = 1 - 0.75 \]

4. **Calculate the Probability**:
Performing the subtraction gives us:
\[ P(\text{No Rain}) = 0.25 \]

5. **Conclusion**:
Thus, the probability that it will not rain tomorrow is \( 0.25 \).

**Final Answer**: The probability that it will not rain tomorrow is \( 0.25 \).

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