Question

If the businesswoman randomly selects one of the possible itineraries and Denver and San Francisco are two of the cities that she plans to visit, what is the probability that she will visit Denver before San Francisco?

Answer 1

Answer: The probability that she will visit Denver before San Francisco is  $\dfrac{1}{2}$ .

Step-by-step explanation:

Given : The businesswoman randomly selects one of the possible itineraries and Denver and San Francisco are two of the cities that she plans to visit.

The possible itineraries = (First Denver and then San Francisco , First San Francisco and then Denver)

i.e. Total outcomes =2

If she visit Denver before San Francisco , then the favorable outcome = 1

Now , the probability that she will visit Denver before San Francisco = $=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$=\dfrac{1}{2}$

Hence, the probability that she will visit Denver before San Francisco is $\dfrac{1}{2}$ .