From a barrel of colored marbles, you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles.
Find the experimental probability of randomly selecting a marble that is either green or purple. Write your answer in simplest form.
A. one-tenth
B. one-fifth
C. one-third
D. two-fifteenths
The total number of marbles is 30 (7+5+8+4+6). The number of marbles that are either green or purple is 4+6=10. The experimental probability is then 10/30, which simplifies to 1/3. So the answer is C. one-third.
To find the experimental probability, we need to calculate the number of favorable outcomes (green or purple marbles) divided by the total number of possible outcomes (total marbles).
The total number of green and purple marbles is 4 + 6 = 10.
The total number of marbles is 7 + 5 + 8 + 4 + 6 = 30.
So, the experimental probability of randomly selecting a marble that is either green or purple is 10/30.
Simplifying 10/30 gives us 1/3.
Therefore, the answer is C. one-third.