kyles handful of trail mix has 2 almonds, 4 peanuts, 3 raisins, and 5 sunflower seeds. if he picks one item…

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?\n\\(\\frac{1}{14}\\)\n\\(\\frac{1}{7}\\)\n\\(\\frac{2}{7}\\)\n\\(\\frac{2}{5}\\)

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?\n\\(\\frac{1}{14}\\)\n\\(\\frac{1}{7}\\)\n\\(\\frac{2}{7}\\)\n\\(\\frac{2}{5}\\)

Answer

Explanation:

Step1: Calculate total number of items

$2 + 4+3 + 5=14$

Step2: Calculate probability of picking a peanut

The number of peanuts is 4. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{14}=\frac{2}{7}$

Answer:

C. $\frac{2}{7}$