Question

There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..

Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11


Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

Answer 1

Explanation:

The correct answer is:

The theoretical probability of pulling a brown marble from the bag is 10/40 or 1/4, which is equivalent to 25%. This is because there are 10 brown marbles out of 40 total marbles in the bag.

The experimental probability of pulling a brown marble is 13/40 or 0.325, which is equivalent to 32.5%. This is because the student pulled a brown marble 13 times out of 40 total trials.

Therefore, the correct answer is: The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.