have one bag of trail mix. Half the bag contains peanuts, 1/4 of the bag is chocolate candies, and 1/4 of the bag is dried fruit. what is the probability that I will select a peanut A. 1/2 B. 1/4 C. 1/3

To determine the probability of selecting a peanut from the trail mix, we can examine the composition of the bag:

• Peanuts: \( \frac{1}{2} \) of the bag
• Chocolate candies: \( \frac{1}{4} \) of the bag
• Dried fruit: \( \frac{1}{4} \) of the bag

The total proportions add up to 1 (or 100%):

\[ \frac{1}{2} + \frac{1}{4} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} + \frac{1}{4} = \frac{4}{4} = 1 \]

Now, to find the probability of selecting a peanut, we can use the proportion of the bag that contains peanuts:

\[ \text{Probability of selecting a peanut} = \frac{\text{Amount of peanuts}}{\text{Total amount}} = \frac{1/2}{1} = \frac{1}{2} \]

Thus, the probability that you will select a peanut is:

A. \( \frac{1}{2} \).