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 green marble from the bag.

Choice A: The theoretical probability, P(green), is 50%, and the experimental probability is 11.5%.

Choice B: The theoretical probability, P(green), is 25%, and the experimental probability is 25%.

Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.

Choice D: The theoretical probability, P(green), is 50%, and the experimental probability is 7.0%.

PLEASE HELP ASAP!!!!!!!

Answer 1

The answer is C I’ve had this before

Answer 2

To compare the theoretical probability and experimental probability of pulling a green marble from the bag, we first need to calculate the theoretical probability of pulling a green marble.

The bag contains a total of 40 marbles, and 10 of them are green. Therefore, the theoretical probability of pulling a green marble is:

P(green) = 10/40 = 1/4 = 0.25 = 25%

To calculate the experimental probability of pulling a green marble, we can use the frequency table given in the problem. Out of the 40 trials, a green marble was pulled 7 times. Therefore, the experimental probability of pulling a green marble is:

Experimental probability of pulling a green marble = Frequency of green marbles / Total number of trials
= 7/40
= 0.175
= 17.5%

Therefore, the correct answer is Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.