To determine the likelihood of drawing a chocolate candy from the bag of trail mix, we look at the fractions of the different components in the bag.
According to the statement:
- Half of the bag (1/2) is peanuts.
- One quarter of the bag (1/4) is chocolate candies.
- One quarter of the bag (1/4) is dried fruit.
Since the entire bag is composed of these components, the total fractions add up to 1 (1/2 + 1/4 + 1/4 = 1).
The probability of drawing a chocolate candy is represented by the fraction of the bag that is chocolate candies, which is 1/4.
Therefore, the likelihood of drawing a chocolate candy is 1/4.