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A radioactive substance has a half life ...

A radioactive substance has a half life of `t_(0)`. Two particular nuclei-let's name them as nucleus A and B-have not decayed over a particular observation period of `6t_(0)`.
(a) What is the probability that A will decay over a further period of `3t_(0)`?
(b) What is the probability that both A and B will survive over a further period of `3t_(0)`?

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Verified by Experts

The correct Answer is:
(a) `(7)/(8)` (b) `(1)/(64)`
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