3. The table below lists the colored marbles in a bag. Match the theoretical probabilities for drawing a single marble with the correct marble color. Marble Color Number of Marbles blue 12 red 6 yellow 21 black 8 green 11 1. 19% 2. 14% 3. 36% 4. 21% 5. 10% a. red b. black c. green d. red e. yellow​

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Step-by-step explanation:

Given the table :

Marble_color Number of marbles

Blue 12

Red 6

Yellow 21

Black 8

Green 11

Theoretical probability % = (number of favorable outcome / number of total possible outcomes)

Total possible outcomes = (12+6+21+8+11) = 58

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

42

step-by-step explanation: