A particular nucleus in a large population of identical radioactive nuclei did survive 5 half li...

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A particular nucleus in a large population of identical radioactive nuclei did survive 5 half lives of that isotope. Then the probability that this surviving nucleus will survive the next half life :
\( P \)
(A) \( \frac{1}{32} \)
(B) \( \frac{1}{5} \)
(C) \( \frac{1}{2} \)
(D) \( \frac{1}{10} \)
(E) \( \frac{5}{2} \)
W.
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