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

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.