Final answer:
The probability of randomly selecting a yellow piece from a bowl containing a total of 40 pieces (20 blue, 12 red, and 8 yellow) is 8 divided by 40, which simplifies to 1/5 or 0.20, therefore the probability is 20%.
Step-by-step explanation:
The question is asking about the probability of selecting a yellow piece of candy from a bowl containing several pieces of candy in different colors. To find this probability, we need to use the total number of yellow pieces and the total number of pieces overall. The bowl contains 20 blue pieces, 12 red pieces, and 8 yellow pieces, totaling 40 pieces.
To calculate the probability of selecting a yellow piece, we divide the number of yellow pieces by the total number of pieces:
Probability of yellow = number of yellow pieces / total number of pieces
Probability of yellow = 8 / 40
Probability of yellow = 1 / 5
Probability of yellow = 0.20 or 20%
The correct answer is 4. 20%