' what are the odds '

by ANDY SKINNER
(LONDON )

A man holds 3 cards in his hands, 2 aces and a jack. He shuffles the cards and then places them face down onto a table. He asks his friend to randomly select a card with the aim of finding an ace. The friend fails. The dealer then re-shuffles the three cards and places them back onto the table and again challenges his friend to find one of the aces. Once again his friend fails to find one of the aces. This is the question. What are odds of the friend not finding an ace after the 4th, 5th, 6th and 7th attempt? NB. There is no deception on the part of the dealer.

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