Question

there are six times as many whitetail deer as mule deer in the woods. if jacob gets one deer in the woods, what is the probability that jacob gets a mule deer?
a. \\(\frac{1}{8}\\)

b. \\(\frac{1}{7}\\)

c. \\(\frac{1}{6}\\)

d. \\(\frac{6}{7}\\)

Explanation:

Step1: Define Variables for Deer Counts

Let the number of mule deer be \( x \). Then the number of whitetail deer is \( 6x \) (since there are six times as many whitetail deer as mule deer).

Step2: Calculate Total Number of Deer

The total number of deer is the sum of mule deer and whitetail deer, so total \( = x + 6x = 7x \).

Step3: Calculate Probability of Mule Deer

Probability is the number of favorable outcomes (mule deer, which is \( x \)) divided by total outcomes (total deer, which is \( 7x \)). So probability \( = \frac{x}{7x} \). The \( x \) cancels out, giving \( \frac{1}{7} \).

Answer:

B. \( \frac{1}{7} \)