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A bag contains six identical black balls...

A bag contains six identical black balls. A boy withdraws one ball from the bag without looking into it. What is the probability that he takes out:
a white ball?

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The correct Answer is:
To solve the problem, we need to determine the probability of the boy withdrawing a white ball from a bag that contains only black balls. ### Step-by-step Solution: 1. **Identify the Total Number of Balls:** - The bag contains a total of 6 balls. - All of these balls are black. 2. **Identify the Number of Favorable Outcomes:** - We are interested in the event of drawing a white ball. - Since there are no white balls in the bag, the number of favorable outcomes (drawing a white ball) is 0. 3. **Calculate the Probability:** - Probability is calculated using the formula: \[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \] - Here, the number of favorable outcomes is 0 (since there are no white balls) and the total number of outcomes is 6 (the total number of balls). - Therefore, the probability of drawing a white ball is: \[ \text{Probability} = \frac{0}{6} = 0 \] 4. **Conclusion:** - The probability that the boy takes out a white ball is 0.
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