Abasket 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.