Question

You have a bag of marbles with 630 marbles in it: 110 red, 230 green, and 290 blue. You pull out 1 marble, record the color, and replace it.

After you do this 100 times, the table shows the number of times each color was drawn:

Red Green Blue Total

21 35 44 100

Give exact, reduced answers.

a) What is the theoretical probability of drawing a blue?




b) What is the experimental probability of drawing a blue?

Answer 1

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Answer 2

a) The theoretical probability of drawing a blue marble is the ratio of the number of blue marbles to the total number of marbles in the bag, which is:

P(blue) = number of blue marbles / total number of marbles

= 290 / 630

= 29 / 63

So the theoretical probability of drawing a blue marble is 29/63.

b) The experimental probability of drawing a blue marble is the ratio of the number of times a blue marble was actually drawn to the total number of trials, which is:

P(experimental blue) = number of times a blue marble was drawn / total number of trials

= 44 / 100

= 11 / 25

So the experimental probability of drawing a blue marble is 11/25.

Explanation:

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