Question

2. In a survey, 108 people indicated that they prefer cats, 181 indicated that they prefer dogs, and 100 indicated that they don't enjoy either pet. Find the probability that a randomly chosen person will prefer dogs.

Answer 1

To determine the probability that a person chosen at random likes dogs, you have to divide the number of people that like dogs by the total number of people surveyed:

108 prefer cats

181 prefer dogs

100 don't like pets

Total: 389

$\begin{gathered} P(\text{Dogs)}=\frac{nº\text{dogs}}{\text{total}} \\ P(\text{Dogs)}=\frac{181}{389} \\ P(\text{Dogs)}=0.465\approx0.47 \end{gathered}$

The probability that a person is chosen at random and prefers dogs is 0.47