As Rich has pointed out in different language, you may be having a
semantic problem.  The following expressions may sometimes be equivalent
in adjacent pairs, but not all four are equivalent:
   (a) drawing at least one king
   (b) drawing a king at least once
   (c) drawing a particular king at least once
   (d) drawing the King of Diamonds at least once

You have supplied a correct answer to (c) or (d).  This is not how I
would understand (a), which is the language used in the problem.

On Tue, 29 Jul 2003, James Lo wrote:

> 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     < snip, arithmetic details >

Which implies that the book did not intend to ask (c) or (d).

 -----------------------------------------------------------------------
 Donald F. Burrill                                         [EMAIL PROTECTED]
 56 Sebbins Pond Drive, Bedford, NH 03110                 (603) 626-0816


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