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Suppose a judge is scheduled to hear 6 cases today. Each case has a 75% chance...

Suppose a judge is scheduled to hear 6 cases today. Each case has a 75% chance of resulting in a guilty verdict. What is the probability (as a decimal) that all 6 cases turn out guilty? Round to the second decimal place.

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Answer #1

p = P( being guilty) = 0.75

There are total 6 cases, it can be assumed that all are independent of being guilty.

P(all 6 being guilty) = (0.75)6 = 0.18

Answer= 0.18

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