Question

The table shows the number of each color pen in Mrs. Devon's desk drawer. Suppose she selects a pen at random from the drawer. How much greater is the theoretical probability of selecting a black pen than selecting a red or a green pen? Express your answer as a percent. Color Number of Pens Black 9 Blue 6 Green 1 Red 4​

Answer 1

1. 9+6+1+4=20

Black 9/20 = 0.45 = 45%

Red or green = 5/20 = 0.25= 25%

selecting black is 45-25 = 20%

Answer 2

Explanation:

Black = 9, Blue = 6, Green = 1, Red = 4

Pr(Black) = 9/18 = 1/2 = 50%

Pr(Red or Green) = 5/18 = 28%

therefore it is 22% (50-28) more likely that Mrs. Devon will select a black pen than a red or green