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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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!

**Problem Statement: Probability with Standard Decks**

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?

*Note: There are no graphs or diagrams accompanying the text.*
Transcribed Image Text:**Problem Statement: Probability with Standard Decks** 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? *Note: There are no graphs or diagrams accompanying the text.*
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