Question

Charlie flipped a coin $80$ times and gets heads $25$ times. What is the experimental probability of getting tails?

• A. $\frac{5}{16}$
  
• B. $\frac{5}{11}$
  
• C. $\frac{11}{16}$
  

Answer 1

The correct option is C $\frac{11}{16}$


When a coin is flipped, we obtain either a head $\left(\text{H}\right)$ or tail $\left(\text{T}\right)$.

It is given that when Charlie flipped the coin, head appeared $25$ times out of $80$ times.

Number of times Tail appeared when Charlie flipped a coin $80$ times $=80-25$
$=55$

Let $\text{P(T)}$ denotes the experimental probability of obtaining a tail when a coin is flipped.

$\text{P(T)}=\frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}$

$\text{P(T)}=\frac{\text{Number of times tail is obtained}}{\text{Number of times coin is flipped}}$

$\text{P(T)}=\frac{55}{80}=\frac{11\times 5}{16\times 5}$

$\text{P(T)}=\frac{11}{16}$


The experimental probability of getting tails when Charlie flipped a coin $80$ times is $\frac{11}{16}$.

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