Sara and Petros each have a standard deck of cards. Independently, each of them selects a card uniformly at random from their respective decks. What is the probability that the rank of Sara's card is strictly higher than the rank of Petros's card?
Sara and Petros each have a standard deck of cards. Independently, each of them selects a card uniformly at random from their respective decks. What is the probability that the rank of Sara's card is strictly higher than the rank of Petros's card?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Question
This problem will refer to a standard deck of cards. Each card in such a deck has
a rank and a suit. The 13 ranks, ordered from lowest to highest, are 2, 3, 4, 5, 6, 7, 8, 9, 10,
jack, queen, king, and ace. The 4 suits are clubs (♣), diamonds (♢), hearts (♡), and spades (♠).
Cards with clubs or spades are black, while cards with diamonds or hearts are red. The deck
has exactly one card for each rank–suit pair: 4 of diamonds, queen of spades, etc., for a total of
13 · 4 = 52 cards. Take a look at the screenshot please!
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