Question

There are 10 red, 10 blue, 10 green, and 10 yellow 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.

PLEASE HELP ASAP
Outcome Frequency

red 8

blue 12

green 9

yellow 11



Compare the theoretical probability and experimental probability of pulling a red marble from the bag.

The theoretical probability, P(red), is 20%, and the experimental probability is 25%.

The theoretical probability, P(red), is 25%, and the experimental probability is 20%.

The theoretical probability, P(red), is 50%, and the experimental probability is 20%.

The theoretical probability, P(red), is 25%, and the experimental probability is 8%.

Answer 1

25%

Step-by-step explanation:

Answer 2

The theoretical probability, P(red), is 25%, and the experimental probability is 20%.

Step-by-step explanation:
There are an equal amount of red, blue, green, and yellow marbles in the bag, so even without knowing how many marbles are in the bag, the theoretical probability of the red (or any other color) marbles is 25% (since you have a 1/4 chance of pulling a red marble), and it would stay that way if you would place the marble back in the bag.

Now within the experiment, a red marble was pulled out 8 times out of 40 trials, or 8/40. Doing the division would give you 0.20, which when converted to percent is 20%, giving us our (or rather, the student's) experimental probability.

Reminder that theoretical probability is based on the mathematics whereas experimental probability is based on multiple experiments!