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White raven [17]
3 years ago
10

After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer fro

m 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. ____________
Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

Step-by-step explanation:

Scilla [17]3 years ago
3 0

Answer:

68\%

Step-by-step explanation:

Let <em>A</em> be the event that Daniel receives call from SeaWorld.

Probability of event <em>A</em>, <em>P(A)</em> = 35\%

Let <em>B</em> be the event that Daniel receives call from Central Park Zoo.

Probability of event <em>B</em>, <em>P(B) </em>= 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\%.

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