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
