Question

A basket of beads contains 8 red beads 6 yellow beads and 6 green beads. A bead will be drawn and replaced 150 times. What is a reasonable prediction for the number of times a green bead is drawn

Answer 1

45

Explanation:

First we will find the total amount of outcomes which is 8+6+6 = 20;

Then we see how many outcomes we want which is 6;

Then we divide 6/20 because we want to know the chance for one trial which is 0.3

Since we have 150 Trials we will do 0.3*150

Formula

(Favorable outcomes/Total Outcome) X No. Of Trials

Answer 2

To make a reasonable prediction, you can create a proportion using the ratio of green beads to total beads and make it equal to x green out of 150 trials.

green 6 x
total 20 = 150; use cross products to solve for x green beads.

15 x 6 = 20x
900 = 20x
20 20

x = 45 green

A reasonable prediction would be 45 green beads based on theoretical probability.