Question

What is the probability of NOT getting purple in the spinner?

• A. $\frac{1}{5}$
• B. $\frac{2}{5}$
• C. $\frac{3}{5}$
• D. $\frac{4}{5}$

Answer 1

The correct option is D $\frac{4}{5}$


For the above spinner,
$\text{Sample space}$ = {Red, Orange, Purple, Yellow, Green}
$\therefore$ Total number of equally likely outcomes= $5$

For spinning the spinner and NOT getting purple,
$\text{Favorable outcomes}$= {Red, Orange, Yellow, Green}
$\therefore$ Number of favorable outcomes= $4$

Hence, the probability of spinning the spinner and NOT getting purple is
$\text{P (not purple)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of equally likely outcomes}}$
$\Rightarrow \text{P (not purple)}=\frac{4}{5}$