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If success probability in a single trial is 0.01, the minimum number of trials needed so that $P(\text{at least one success}) > 0.5$ is:
A50
B69
C100
D200
Answer & Solution
Correct answer: B. 69
Need $1 - (0.99)^n > 0.5$ ⇒ $(0.99)^n < 0.5$ ⇒ $n > \log 0.5/\log 0.99 = -0.693/-0.01005 \approx 69$. Try $n = 69$: $(0.99)^{69} \approx 0.499 < 0.5$ ✓.
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