A certain species of animal can has varying fur color. The probability that the animal will have orange fur is 0.7, the probability of brown fur is 0.11 and the probability of grey fur is 0.19. The animal also occasionally will have stripes. If the animal is orange the probability of stripes is 0.16, if the animal is brown the probability of stripes is 0.3, and if the animal is grey the probability of stripes is 0.4.

What is the probability an animal has stripes?
(Round answer to three decimal places)

What is the probability an animal is orange given it does NOT have stripes?
(Round answer to three decimal places)

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-06-09T13:35:29+02:00

The probability that an animal has stripes will be 0.86.

The probability that an animal has stripes will be:

= Orange stripes + Brown stripes + Grey stripes

= 0.16 + 0.3 + 0.4

= 0.86

The probability that an animal doesn't have stripes will be:

= 1 - 0.86

= 0.14

Therefore, the probability that an animal doesn't have stripes is 0.14.

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