A circus clown is entertaining kids by making balloon animals. The clown can make any one the following animals: giraffe, dog, elephant, or monkey. The clown has five colors of balloons to choose from: red, yellow, blue, green, and purple. If the clown is just as likely to make any one of the animals and choose any one color, what is the probability that the clown will make a purple elephant?
A. \(\dfrac{1}{24}\)
B. \(\dfrac{1}{20}\)
C. \(\dfrac{2}{15}\)
D. \(\dfrac{3}{20}\)
E. \(\dfrac{1}{8}\)
The OA is B
Source: Manhattan Prep
Probability
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Solution:swerve wrote: ↑Mon Nov 02, 2020 9:32 amA circus clown is entertaining kids by making balloon animals. The clown can make any one the following animals: giraffe, dog, elephant, or monkey. The clown has five colors of balloons to choose from: red, yellow, blue, green, and purple. If the clown is just as likely to make any one of the animals and choose any one color, what is the probability that the clown will make a purple elephant?
A. \(\dfrac{1}{24}\)
B. \(\dfrac{1}{20}\)
C. \(\dfrac{2}{15}\)
D. \(\dfrac{3}{20}\)
E. \(\dfrac{1}{8}\)
The OA is B
The total number of different colored balloon animals can be made is 4 x 5 = 20. Thus, the probability that the clown will make a purple elephant is 1/20.
Answer: B
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