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.
There are 4 green marbles and 6 purple marbles for a total of 4+6=10 marbles that are either green or purple.
The total number of marbles is 7+5+8+4+6=30.
So the experimental probability of selecting a marble that is either green or purple is:
10/30 = 1/3
Therefore, the answer is C. one-third.
To find the experimental probability of randomly selecting a marble that is either green or purple, we need to calculate the total number of green and purple marbles and divide it by the total number of marbles in the barrel.
The number of green marbles is 4, and the number of purple marbles is 6. So, the total number of green and purple marbles is 4 + 6 = 10.
Since the total number of marbles is 7 + 5 + 8 + 4 + 6 = 30, the experimental probability of randomly selecting a green or purple marble is 10/30.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 10.
10/30 simplifies to 1/3.
Therefore, the experimental probability of randomly selecting a marble that is either green or purple is C. one-third.