Determine the probability of at least 5 up votes


There are 9 judges in Supreme Court. Suppose 3 are "conservative", 4 are "liberal", and 2 are "neutral". Each and every judge acts independently, and yet on a certain UP/DOWN issue it is known that P( UP | conservative ) = 0, P( UP | neutral ) = 0.4, and P ( UP | liberal ) = 1. Determine the probability of at least 5 up votes?

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Basic Statistics: Determine the probability of at least 5 up votes
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