Question

A National Park Service survey of visitors to the Rocky Mountain region revealed that 50% visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. 8. What is the probability a vacationer will visit at least one of these attractions

Answer 1

Answer:

0.55 or 55%

Step-by-step explanation:

Let A represent the event when a vacationer visits Yellowstone Park

Let B be represent the event where a vacationer visits the Tetons.

We are told that 50% visit Yellowstone Park. Thus; P(A) = 50% = 0.5

Also,that 40% visit the Tetons. Thus;

P(B) = 40% = 0.4

Also that 35% visit both.

Thus; P(A & B) = 0.35

Now, probability that they visit at least one of these attractions will be P(A or B)

Now, formula for P(A or B) is;

P(A or B) = P(A) + P(B) - P(A & B)

Thus;

P(A or B) = 0.5 + 0.4 - 0.35

P(A or B) = 0.55

Answer 2

The probability a vacationer will visit at least one would be "0.55".

According to the question,

Let,

• Vacationer visits Yellowstone Park = A
• Vacationer visits Tetons = B

Probability:

50% at Yellowstone park,

→ $P(A) = 50 \ percent$

            $= 0.5$

40% at Tetons,

→ $P(B) = 40 \ percent$

            $= 0.4$

35% visits both,

→ $P(A \ and \ B) = 0.35$

hence,

Visits at least one of these,

→ $P(A \ or \ B) = P(A)+P(B) -P(A \ and \ B)$

By substituting the values,

                    $= 0.5+0.4-0.35$

                    $= 0.55$

Thus the answer above is right.

Find out more information about probability here:

https://brainly.com/question/24756209