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. $\frac{1}{6}$
b. $\frac{6}{7}$
c. $\frac{1}{6}$
d. $\frac{1}{7}$

Explanation:

Step1: Define the number of mule - deer and whitetail - deer

Let the number of mule deer be $x$. Then the number of whitetail deer is $6x$.

Step2: Calculate the total number of deer

The total number of deer is the sum of mule deer and whitetail deer, so the total number of deer $T=x + 6x=7x$.

Step3: Calculate the probability of getting a mule deer

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. The number of favorable outcomes (getting a mule deer) is $x$, and the total number of outcomes (getting any deer) is $7x$. So $P=\frac{x}{7x}=\frac{1}{7}$.

Answer:

D. $\frac{1}{7}$