Question

kyles 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?
$\frac{1}{14}$
$\frac{1}{7}$
$\frac{2}{7}$
$\frac{2}{5}$

Explanation:

Step1: Calculate total number of items

We sum up the number of each type of item: almonds (2) + peanuts (4) + raisins (3) + sunflower seeds (5). So, \(2 + 4 + 3 + 5 = 14\) total items.

Step2: Calculate probability of picking a peanut

Probability is the number of favorable outcomes (peanuts, which is 4) divided by total outcomes (14). So, the probability \(P=\frac{4}{14}\), which simplifies to \(\frac{2}{7}\) by dividing numerator and denominator by 2.

Answer:

\(\frac{2}{7}\) (corresponding to the option with \(\frac{2}{7}\))