Question

1. Calculate the theoretical and the experimental probability of the following situation.

Brody has a bucket of marbles. The bucket contains 3 red marbles, 5 purple marbles, and 8 green marbles. He randomly selected a green marble 9 out of a total of 20 times.

Choose the sentence that correctly compares the experimental and theoretical probabilities.
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1 point
The experimental probability = 9/20 which is greater than the theoretical probability which equals 50%.
The experimental probability = 9/20 which is less than the theoretical probability which equals 50%.
The theoretical probability = 9/20 which is greater than the experimental probability which equals 50%.
The theoretical probability = 9/20 which is less than the experimental probability which equals 50%.

Answer 1

The theoretical probability of green = 8/(3+5+8) = 8/16 = 1/2 = 50%.
The experimental probability = 9/20 = 45%, which is less than 50%.

So choose: "The experimental probability = 9/20 which is less than the theoretical probability which equals 50%."