Question

For the question given below, four alternative choices have been provided of which only one is correct. You have to select the correct choice:

A fair coin tossed 100 times and the Head occurs 58 times and tail 42 times. The experimental probability of getting a Head is:

(a) $\frac{1}{2}$

(b) $\frac{21}{50}$

(c) $\frac{29}{50}$

(d) $\frac{42}{58}$

Answer 1

We have,

The number of times a coin is tossed = 100

The number of times Head occurs = 58 and

The number of times Tail occurs = 42

Let the event of getting a Head be E.

$$\begin{gathered} \mathrm{So}, \\ \mathrm{P}\left(E\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}} \\ =\frac{58}{100} \\ =\frac{29}{50} \end{gathered}$$

Hence, the correct choice is option (c).