Question:
A box contains 20 identical balls of which 10 are blue and 10 are green. The balls are drawn at random from the box one at a time with replacement. The probability that a blue ball is drawn 4th time on the 7th draw is
A box contains 20 identical balls of which 10 are blue and 10 are green. The balls are drawn at random from the box one at a time with replacement. The probability that a blue ball is drawn 4th time on the 7th draw is
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When calculating probabilities in multiple trials, use the multiplication rule for independent events.
Updated On: Jan 12, 2026
- \( \frac{27}{32} \)
- \( \frac{5}{32} \)
- \( \frac{1}{32} \)
- \( \frac{1}{16} \)
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The Correct Option is B
Solution and Explanation
The probability of drawing a blue ball on the 4th draw is \( \frac{1}{2} \). The probability of the blue ball appearing on the 7th draw can be calculated as \( \frac{5}{32} \) by considering the total number of possible outcomes.
Step 2: Conclusion.
The correct answer is (B), \( \frac{5}{32} \).
Step 2: Conclusion.
The correct answer is (B), \( \frac{5}{32} \).
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