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Consider a network of the following type. A variable A, that is binary,
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connects to three variables X1, X2, and X3 that are also
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binary. The probability of A is 0.5, and
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for all variable Xi we have the probability of Xi
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given A is 0.2, and the probability of Xi given
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knot A equals 0.6. I would like to
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know from you the probability of A, given that
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we observe X1, X2, and knot X3.
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Notice that these variables over here are conditionally independent, given A.