Final answer:
The complement of an event is the probability of the event not happening. The probability of drawing a non-red piece of candy from the bag is 0.5.
Step-by-step explanation:
The complement of an event is the probability of the event not happening. In this case, the event is drawing a red piece of candy from the bag.
The complement of this event would be drawing a non-red piece of candy.
To find the complement, we need to calculate the probability of drawing a non-red piece of candy from the bag.
There are 10 red circular pieces, 10 red square pieces, 10 blue triangular pieces, and 10 blue star-shaped pieces in the bag.
So, the total number of non-red pieces of candy is 10 + 10 + 10 + 10 = 40.
Therefore, the probability of drawing a non-red piece of candy is 40 / (10 + 10 + 10 + 10 + 40)
= 40 / 80 = 0.5.