Question

The probability of flipping a fair coin and getting tail is?

• A. $\frac{1}{3}$
• B. $1$
• C. $\frac{1}{2}$
• D. $\frac{2}{3}$

Answer 1

The correct option is C $\frac{1}{2}$

When we toss a coin, there are only two possible outcomes head $\left(\text{H}\right)$ or tail $\left(\text{T}\right)$ so the sample space for the coin toss experiment is $\left\{\text{H, T}\right\}$.

$\therefore$ Total number of possibe outcomes $=2$

$\text{Favorable outcome}$ $=\left\{\text{T}\right\}$

$\therefore$ Number of favorable outcomes $=1$

Hence, the probability of flipping a coin and getting tail is

$\text{P (tail)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$\Rightarrow \text{P (tail)}=\frac{1}{2}$

Therefore, option (c.) is the correct choice.