If the probability of winning a game is 0.0995, then the probability of losing it is:

Options

A. 0.05
B. 0.0005
C. 0.5
D. 0.001

Answer

To find the probability of losing a game when the probability of winning is given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Probability of Winning**:
We are given that the probability of winning a game, denoted as \( P(\text{Winning}) \), is 0.0995.

2. **Understand the Relationship Between Winning and Losing**:
The outcomes of winning and losing are complementary events. This means that the sum of the probabilities of winning and losing must equal 1. Mathematically, this can be expressed as:
\[ P(\text{Winning}) + P(\text{Losing}) = 1 \]

3. **Express the Probability of Losing**:
To find the probability of losing, we can rearrange the equation from step 2:
\[ P(\text{Losing}) = 1 - P(\text{Winning}) \]

4. **Substitute the Probability of Winning**:
Now, we substitute the value of \( P(\text{Winning}) \) into the equation:
\[ P(\text{Losing}) = 1 - 0.0995 \]

5. **Calculate the Probability of Losing**:
Performing the subtraction:
\[ P(\text{Losing}) = 1 - 0.0995 = 0.9005 \]

### Final Answer:
Thus, the probability of losing the game is \( P(\text{Losing}) = 0.9005 \).

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