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A bag contains red, white, blue balls. ...

A bag contains red, white, blue balls. Write the sum of P (red), P (white) and P (blue ) balls.

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To solve the problem, we need to find the sum of the probabilities of drawing a red ball, a white ball, and a blue ball from a bag containing these colored balls. ### Step-by-Step Solution: 1. **Understanding Probability**: - Probability is defined as the number of favorable outcomes divided by the total number of outcomes. - In this case, the favorable outcomes are the number of red, white, and blue balls. 2. **Identifying the Events**: - Let \( P(\text{red}) \) be the probability of drawing a red ball. - Let \( P(\text{white}) \) be the probability of drawing a white ball. - Let \( P(\text{blue}) \) be the probability of drawing a blue ball. 3. **Using the Probability Rule**: - According to the fundamental rule of probability, the sum of the probabilities of all possible outcomes (in this case, the colors of the balls) must equal 1. - Therefore, we can write the equation: \[ P(\text{red}) + P(\text{white}) + P(\text{blue}) = 1 \] 4. **Conclusion**: - The sum of the probabilities of drawing a red ball, a white ball, and a blue ball is equal to 1. ### Final Answer: \[ P(\text{red}) + P(\text{white}) + P(\text{blue}) = 1 \]
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