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If the probability of winning a game is ...

If the probability of winning a game is 0.995, then the probability of losing it is:

A

0.05

B

0.005

C

0.5

D

0.001

Text Solution

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The correct Answer is:
To find the probability of losing a game when the probability of winning is given as 0.995, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Probability**: - The total probability of all possible outcomes of an event is always equal to 1. This means that the probability of winning (P(W)) and the probability of losing (P(L)) must add up to 1. \[ P(W) + P(L) = 1 \] 2. **Identify the Given Probability**: - We are given that the probability of winning a game is: \[ P(W) = 0.995 \] 3. **Set Up the Equation**: - Using the relationship from step 1, we can express the probability of losing as: \[ P(L) = 1 - P(W) \] 4. **Substitute the Given Value**: - Now, substitute the value of P(W) into the equation: \[ P(L) = 1 - 0.995 \] 5. **Calculate the Probability of Losing**: - Perform the subtraction: \[ P(L) = 1 - 0.995 = 0.005 \] 6. **Conclusion**: - Therefore, the probability of losing the game is: \[ P(L) = 0.005 \] ### Final Answer: The probability of losing the game is **0.005**.
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