Question

there are four red marbles, six blue marbles, and six purple marbles. you select a marble randomly. find the probabilities below
p(purple marble)
p(not red)

Explanation:

Step1: Calculate total number of marbles

$4 + 6+6=16$

Step2: Calculate P(purple marble)

The number of purple marbles is 6. So $P(\text{purple marble})=\frac{6}{16}=\frac{3}{8}$

Step3: Calculate P(NOT red)

The number of non - red marbles is $6 + 6=12$. So $P(\text{NOT red})=\frac{12}{16}=\frac{3}{4}$

Answer:

$P(\text{purple marble})=\frac{3}{8}$
$P(\text{NOT red})=\frac{3}{4}$