Question

(b) Construct an experiment and three associated events A, B and C such that A and B are not independent, but AC and BC are independent. Justify your answer with calculations

Answer 1

Solution:

Let X be an event of selecting two cards from a deck of 52 cards

X=> selecting two cards out of 52 cards

Y=> selecting a Ace at first

Z=> selecting a Jack at second

Now,

Y|X=> selecting Ace at first from the two which is getting selected.

Z|X=> selecting Jack at second from the two which is getting selected.

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