9. A standard deck of cards consists of 52 cards. There are four suits, namely ,

Question

9. A standard deck of cards consists of 52 cards. There are four suits, namely , , , and . Each suit contains 13 cards, namely the numbered cards 2 - 10, and an Ace, King, Queen, and Jack.
(a) Compute the probability of drawing a Queen or a .
(b) Compute the probability of drawing a or .

10. True or False (If false, give a counterexample):
(a) If the probability of an event is 0, then the event cannot occur.
(b) An event and its complement are a partition of the sample space of the underlying probability experiment.

Explanation / Answer

(a) Compute the probability of drawing a Queen or a .

P(Queen or a .) = P(Queen) + P() - P(Queen and a ) = (4+13-1)52 = 16/52
(b) Compute the probability of drawing a or .

P(drawing a or .) = (13+13)/52 = 1/2

10. True or False (If false, give a counterexample):
(a) If the probability of an event is 0, then the event cannot occur.True
(b) An event and its complement are a partition of the sample space of the underlying probability experiment.True as P(An event and its complement ) adds upto 1

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