Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and 13 ranks in each suit (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). You pick cards from the deck one at a time without replacement. What is the minimum number of cards you must pick in order to guarantee that you get: a) a pair of any rank, b) two aces, and c) all four aces. I really need help with this one. Please provide details so that I can understa

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
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Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds,
clubs) and 13 ranks in each suit (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). You pick cards from the deck one
at a time without replacement. What is the minimum number of cards you must pick in order to
guarantee that you get:
a) a pair of any rank,
b) two aces, and
c) all four aces.

I really need help with this one. Please provide details so that I can understand and not be confused.

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