A coin is tossed live times. What is the probability that there is at the least one tail?

Solution (By Examveda Team)

Let P(T) be the probability of getting least one tail when the coin is tossed five times.
$$P\left( {\overline T } \right)$$ = There is not even a single tail.
i.e. all the outcomes are heads.
$$\eqalign{ & P\left( {\overline T } \right) = \frac{1}{{32}} \cr & P\left( T \right) = 1 - \frac{1}{{32}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{31}}{{32}} \cr} $$