1. A coin is tossed $800$ times and the outcomes were noted as: Head:$415$, Tail:$385$. Find the probability of the coin showing up (i) a head, (ii) a tail.

According to the question it is given that,

A coin is tossed $800$ times, and then total number of trials is $800$.

Consider that,${{A}_{1}}$ and ${{A}_{2}}$ be the events of the coin,

Then, total number of ${{A}_{1}}$ times  occurs = 415 and the total number of times occurs $=385$.

Now,

P$({{E}_{1}})$ $=415/800$

$=83/160$

P$({{E}_{2}})$ $=385/800$

$=77/160$