A study by the National Park Service revealed that 50% of the vacationers going to the Rocky Mountain region visit Yellowstone Park,40% visit the Grand Tetons,and 35% visit both. What is the probability that a vacationer will visit at least one of these magnificent attractions?
A)0.95
B)0.35
C)0.55
D)0.05

Question

Quizplus · Accepted Answer

To find the probability that a vacationer will visit at least one of these attractions, we need to add the probabilities of visiting Yellowstone, Grand Tetons, or both. However, we need to subtract the probability of visiting both since we don't want to count those vacationers twice.

P(Yellowstone or Grand Tetons) = P(Yellowstone) + P(Grand Tetons) - P(Both)

P(Yellowstone or Grand Tetons) = 0.50 + 0.40 - 0.35

P(Yellowstone or Grand Tetons) = 0.55

Therefore, the probability that a vacationer will visit at least one of these magnificent attractions is 0.55, which is option C.

A Study by the National Park Service Revealed That 50