Question

Consider an experiment of rotating a spinner $40$ times. The table given below shows the results of the experiment conducted. Find the experimental probability of spinning the color - Orange.

Color	Occurances
Orange	$8$
Green	$12$
Blue	$5$
Yellow	$15$

• A. $\frac{1}{8}$
  
• B. $\frac{3}{10}$
  
• C. $\frac{1}{5}$
  
• D. $\frac{3}{8}$
  

Answer 1

The correct option is C $\frac{1}{5}$


On spinning the given spinner can stop at any of these colors - Orange, Yellow, Blue and Green.


The given table shows the results of spinning the spinner $40$ times:

Color	Occurances
Orange	$8$
Green	$12$
Blue	$5$
Yellow	$15$

From the table, we can see that $8$ times Orange color appears when we rotate the spinner $40$ times.

Let $\text{P(O)}$ denotes the experimental probability of obtaining Orange color.

$\text{P(O)}=\frac{\text{Number of times an event occurs}}{\text{Total number of times an experiment is conducted}}$

$\text{P(O)}=\frac{8}{40}$

$\text{P(O)}=\frac{1}{5}$

The experimental probability of obtaining an Orange color when the spinner is rotated $40$ times is $\frac{1}{5}$.


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