Question

After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer from SeaWorld is 35%. The probability of receiving an offer from the Central Park Zoo is 48%. The probability of Daniel getting an offer from both SeaWorld and the Central Park Zoo is 15%.

Determine the probability of receiving an offer from either SeaWord or Central Park Zoo but not both. ____________

Answer 1

Explanation:

Answer 2

`68\%`

Explanation:

Let A be the event that Daniel receives call from SeaWorld.

Probability of event A, P(A) =
`35\%`

Let B be the event that Daniel receives call from Central Park Zoo.

Probability of event B, P(B) =
`48\%`

Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:

`P(A \cap B) = 15\%`

We know that formula:

Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:

`P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%`

Hence, required probability is
`68\%`.