How many cards must be drawn from a standard 52-card stack to guarantee 2 cards of the same suit? 2 cards of spades?

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A question from a chapter about counting asks this. I got the answers 14 and P(13,2) but I know these are wrong.

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By the 5th card you will have 2 of the same suit if any suit ok. If it has to be the suit of spades, then worst case 13 cards of each hearts, diamonds, and clubs = 39 draws, so 40th draw is 1st spade, 41st is 2nd spade.