Question

A jar contains 10 purple marbles, 2 red marbles, and 5 blue marbles. What is the probability thatrandomly chosen marble is purple? Round the answer to the nearest hundredth of a percent.

Answer 1

EXPLANATION

Let's see the facts:

purple marbles = 10

red marbles = 2

blue marbles = 5

The probability formula is:

`P(X)\text{ = }\frac{n\\u mber\text{ of favourable outcomes}}{\text{Total number of outcomes}}`

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:

`P(X)=(10)/(17)=\text{ 0.59}`

Probability is 0.5882352941-->0.59 Rounded to the nearest hunderdth--------------->59%.

Answer: The probability is 59% (Rounded to the nearest hunderdth).