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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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