use the following information for problems 3 and 4.
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 not yellow. Write your answer in simplest form.
A. start fraction 1 over 30 end fraction
B. five-sixths
C. start fraction 2 over 15 end fraction
D. start fraction 1 over 6 end fraction
There are a total of 7 + 5 + 8 + 4 + 6 = 30 marbles. Out of these, 5 are yellow and the rest (30 - 5 = 25) are not yellow. So, the experimental probability of randomly selecting a marble that is not yellow is:
25/30
Simplifying, we get:
5/6
Therefore, the answer is B. five-sixths.
To find the experimental probability of randomly selecting a marble that is not yellow, we need to calculate the number of marbles that are not yellow and divide it by the total number of marbles.
Given the information in the problem, we know that there are 5 yellow marbles.
The total number of marbles can be calculated by summing the marbles of different colors:
Total number of marbles = 7 (blue) + 5 (yellow) + 8 (red) + 4 (green) + 6 (purple) = 30.
The number of marbles that are not yellow is the difference between the total number of marbles and the number of yellow marbles:
Number of marbles that are not yellow = 30 - 5 = 25.
Therefore, the experimental probability of randomly selecting a marble that is not yellow is given by:
Experimental probability = Number of marbles that are not yellow / Total number of marbles = 25/30.
Simplifying the fraction, we get:
Experimental probability = 5/6.
Therefore, the answer is B. five-sixths.