In a zoo, there are 120 animals. 50 animals are mammals, 45 animals are native to Africa, and 18 animals are both mammals and native to Africa. What is the probability that a randomly chosen animal is a mammal or native to Africa?
Options
A
5/12
B
3/20
C
19/24
D
77/120
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question applies the concept of non - mutually exclusive events to the context of animals in a zoo.
The main focus is on using the number of animals in each category to calculate the individual probabilities and the probability of their intersection, and then applying the appropriate formula.
Key Concept Explanation
For non - mutually exclusive events A (an animal is a mammal) and B (an animal is native to Africa), the formula is used to find the probability of an animal belonging to either category, while accounting for the animals that belong to both.
Step-by-Step Solution
The probability that an animal is a mammal, .
The probability that an animal is native to Africa, .
The probability that an animal is both a mammal and native to Africa,
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