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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. 1/24
B. 1/20
C. 2/15
D. 3/20
E. 1/8
A. 1/24
B. 1/20
C. 2/15
D. 3/20
E. 1/8
Archit3110
24 Jul 2018, 00:07
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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. 1/24
B. 1/20
C. 2/15
D. 3/20
E. 1/8
Probability of elephant 1/4, and purple color 1/5
1/4*1/5= 1/20
A. 1/24
B. 1/20
C. 2/15
D. 3/20
E. 1/8
Probability of elephant 1/4, and purple color 1/5
1/4*1/5= 1/20
24 Jul 2018, 00:08
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Total number of way the clown can make a balloon animal = 4 * 5 = 20
Total number of way the clown can make a purple elephant = 1 * 1 = 1
Probability = \(\frac{1}{20}\)
or
Probability of clown picking the purple balloon = \(\frac{1}{5}\)
Probability of clown making an elephant = \(\frac{1}{4}\)
Probability of clown making an purple elephant = \(\frac{1}{5} * \frac{1}{4}\) = \(\frac{1}{20}\)
Hence option B
Total number of way the clown can make a purple elephant = 1 * 1 = 1
Probability = \(\frac{1}{20}\)
or
Probability of clown picking the purple balloon = \(\frac{1}{5}\)
Probability of clown making an elephant = \(\frac{1}{4}\)
Probability of clown making an purple elephant = \(\frac{1}{5} * \frac{1}{4}\) = \(\frac{1}{20}\)
Hence option B
