Drawing a card randomly from a regular deck of cards


Question: Suppose you draw a card randomly from a regular deck of cards. Let Abe the event that the card is red, and Bthe event that the card is a 9.

a) Find Pr(A), Pr(B), Pr(Aand B) and Pr(B|A).

b) Are A and B independent events? Why or why not?

Now suppose you draw a second card (without first replacing the first card in the deck). Let Cbe the event that the second card is a 9.

c) Find Pr(C), Pr(Aand C) and Pr(Band C).

d) Are Aand Cindependent events? Why or why not?

e) Are Band Cindependent events? Why of why not?

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Basic Statistics: Drawing a card randomly from a regular deck of cards
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