Question

What is the probability of $\text{not}$ getting purple in the spinner?

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

Answer 1

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


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

For spinning the spinner and $\text{not}$ 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
$\text{P (not purple)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$
$\Rightarrow \text{P (not purple)}=\frac{4}{5}$

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