EXPLANATION
Let's see the facts:
purple marbles = 10
red marbles = 2
blue marbles = 5
The probability formula is:
[tex]P(X)\text{ = }\frac{n\nu mber\text{ of favourable outcomes}}{\text{Total number of outcomes}}[/tex]The totl number of outcomes is 10+2+5 = 17 marbles
The number of favourable outcomes is equal to 10 because there are 10 purple marbles.
Then, the probability would be:
[tex]P(X)=\frac{10}{17}=\text{ 0.59}[/tex]Probability is 0.5882352941-->0.59 Rounded to the nearest hunderdth--------------->59%.
Answer: The probability is 59% (Rounded to the nearest hunderdth).
