A player draws the cards from the a 52-card deck one by one, without putting them back in the deck.
Every time before drawing a card he guesses the suit of the card he will draw.
He decides to always guess the suit that occurs most frequently in the remaining deck (if there are several such suits, he chooses any one of them).

Prove that he will guess the right suit at least 13 times.

(In reply to simulation by Charlie)

Thanks, Charlie!  I was hoping to see simulation results.

Posted by Steve Herman on 2015-07-21 11:03:29