3 marks If X Y Z are events such that X and Y are independent and Y and Z are

3 marks if x y z are events such that x and y are

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11. [3 marks] If X, Y, Z are events such that X and Y are independent and Y and Z are independent, does it follow that X and Z are independent? [Hint: Think about simple and extreme examples] No. In the following example X and Y are independent and Y and Z are independent, but X and Z are not independent X = drawing spade in the first draw from a deck of 52 cards Y = getting 6 in a throw of a die Z = drawing spade in the second draw from a deck of 52 cards
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  • Summer '18
  • Sagar Arora

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