Suppose an urn has 20 numbers from 1 to 20 and we draw a 2 n…
Suppose an urn has 20 numbers from 1 to 20 and we draw a 2 numbers without replacement. Let A be the event of getting a 4 in the first draw, let B be the event of getting an odd number in the second draw, and let C be the event of getting an even number in the first draw. Are A and B (i) conditionally independent, conditioning on C, and (ii) unconditionally independent? Hint: for (ii), Find P(A), P(B), P(B|A) Use P(AB) = P(B|A)P(A) — refer to the card deck example we did in class for (i) Try to show if P(AB|C) = P(A|C)*P(B|C)
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