Suppose that four cards are drawn successively from an ordinary deck
of 52 cards, with replacement and at random. What is the probability
of drawing at least one king?

Answer from the book: 0.274

My solution and answer:

Let AC = be the sample points where King is not found
AC = 51*51*51*51 or 51^4 = 6765201

Let A = be the total number of sample points

A = 52*52*52*52 or 52^4 = 7311616

Pr(drawing at least one king) = 1 - Pr(drawing no king) = 1 -
(51^4/52^4) = 1 - 0.9253 = 0.0747


Anyone can clarify? If my answer is correct, then the answer shown on
the textbook could be a typo error. Otherwise, which part is my error.


Thanks.


James


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