Question

Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.

Outcome Frequency
Green 4
Black 6
Orange 5

Based on the given frequency, determine the experimental probability of selecting a black marble.
0.27
0.33
0.40
0.60

Answer 1

To determine the experimental probability of selecting a black marble, we need to calculate the ratio of the frequency of selecting a black marble to the total frequency of selecting any marble.

Frequency of selecting a black marble: 6

Total frequency of selecting any marble: 4 + 6 + 5 = 15

Experimental probability of selecting a black marble:

Probability = Frequency of black marbles / Total frequency

Probability = 6 / 15

Simplifying the fraction, we get:

Probability = 2 / 5

Converting to decimal form, we find:

Probability = 0.40

Therefore, the experimental probability of selecting a black marble is 0.40 or 40%.