Question

A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar random. What is the theoretical probability of picking a green or yellow marble?Answers: A.20%B.25%C.55%D.75%

Answer 1

Recall that to find the theoretical probability we use the following expression:

`\frac{\text{favorable cases}}{total\text{ cases}}.`

Since the jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles, then the jar contains 20+55+25=100 marbles. Therefore, the theoretical probability of picking a green or a yellow marble is:

`(20+55)/(100)=(75)/(100)=0.75.`

The above decimal number written as a percentage is 75%.

Answer: Option D.