1. Introduction

date

Jun 21, 2023

slug

mat2017-1

author

status

Public

1. Introduction

Permutation & Combination

Additive rule of probability

Full house in poker

A 5-card hand is dealt from a standard, well-shuffled 52-card deck. The hand is called a full house in poker if it consists of three cards of some rank and two cards of another rank, e.g., three 7’s and two 10’s (in any order). What is the probability of a full house?

Newton-Pepys problem

Isaac Newton was consulted about the following problem by Samuel Pepys, who wanted the information for gambling purposes. Which of the following events has the highest probability?

6번 중 적어도 1번:

12번 중 적어도 2번:

18번 중 적어도 3번:

de Montmort’s matching problem

Consider a well-shuffled deck of n cards, labeled 1 through n. You flip over the cards one by one, saying the numbers 1 through n as you do so. You win the game if, at some point, the number you say aloud is the same as the number on the card being flipped over (for example, if the 7th card in the deck has the label 7). What is the probability of winning?

i가 겹칠 확률:

i, j가 겹칠 확률:

1. Introduction

1. Introduction

Permutation & Combination

Additive rule of probability

Full house in poker

Newton-Pepys problem

de Montmort’s matching problem

Story proofs