Question: A radioactive sample's half-life is (1.0 mathrm{~min}), so each nucleus in the sample has a (50 %) chance of undergoing a decay sometime between (t=0)

A radioactive sample's half-life is $1.0 \mathrm{~min}$, so each nucleus in the sample has a $50 \%$ chance of undergoing a decay sometime between $t=0$ and $t=1 \mathrm{~min}$. One particular nucleus has not decayed at $t=15 \mathrm{~min}$. What is the probability this nucleus will decay between $t=15$ and $t=16 \mathrm{~min}$ ?

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