Question

suppose you draw two cards (a sequence) from a standard 52-card deck without replacement. Let A...

suppose you draw two cards (a sequence) from a standard 52-card deck without replacement.

Let A = "the first card is a spade" and B = "the second card is an Ace." These two events "feel" (at least to me) as if they should be independent, but we will see, surprisingly, that they are not. A tree diagram will help with the analysis.

(a) Calculate ?(?)

(b) Calculate ?(?)

(c) Calculate ?(?|?)

(d) Show that A and B are not independent (trivial, just observe that the results of (a) and (c) are different!).

Math   Statistics-And-Probability   
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