Suppose you had number cards in a deck, such that you had 2 2s, 3 3s, 7 7s, and 8 8s. (and no other cards in that deck)

If you were to shuffle the deck (consider the cards to be random after shuffling) and take off the first 4 cards, (such that the first card is thousands place, the second card is the hundreds place, so on), what is the probability that this number will be a perfect square?? Also, how would you find this probability without "trial and error" or "brute force"?

(In reply to can't be. . . by becca)

Of course, if you take four cards off the top it has to yield a four digit number.

The question however is, what is the probablilty of this four digit number being a perfect square. And the answer to that question is zero.

I have no idea what you are refering to when you say '...and not the squares between 0 and 100'

Posted by Sanjay on 2003-06-29 02:31:41