Ihave a bag of trail mix. one half of the bag is peanuts, one quarter of the bag is chocolate candies and one quarter of the bag is dried fruit. what is the likelihood of drawing a chocolate candy

It’s easier to see with actual numbers therefore, since you are not given a total, say there are 20
Which means, 10 are peanuts, 5 are chocolate candies and 5 are dried fruit.
Out of the 20 options, there are 5 that are the chocolate candies.
This means there is a 5 in 20 chance you will pick the chocolate candies.
5/20 = ¼ (i.e. the likelihood to pick one is the same as the fraction of chocolate candies the bag contains)