Question

Kyle’s handful of trail mix has 2 almonds, 4 peanuts, 3 raisins, and 5 sunflower seeds. If he picks one item from the handful of trail mix at random, what is the probability that the item is a peanut?
StartFraction 1 over 14 EndFraction
StartFraction 1 over 7 EndFraction
StartFraction 2 over 7 EndFraction
Two-fifths

Answer 1

To find the probability that the item picked is a peanut, we first need to determine the total number of items in the handful of trail mix.

Kyle has:
- 2 almonds
- 4 peanuts
- 3 raisins
- 5 sunflower seeds

Now, we can calculate the total number of items by adding them up:

\[
\text{Total items} = 2 + 4 + 3 + 5 = 14
\]

Now, the number of peanuts is 4. The probability of picking a peanut is given by the formula:

\[
P(\text{peanut}) = \frac{\text{Number of peanuts}}{\text{Total number of items}} = \frac{4}{14}
\]

To simplify this fraction:

\[
\frac{4}{14} = \frac{2}{7}
\]

Thus, the probability that the item picked is a peanut is

\[
\frac{2}{7}
\]

So the correct answer is **StartFraction 2 over 7 EndFraction**.