This chapter will introduce some basic principles that will be used throughout the course, such as writing loops and functions. Then, we dive into a couple of classic problems: the Birthday Problem, and Monty Hall.

Introduction to the Course

Writing a simple function

Writing a simple for loop

Setting a seed

The Birthday Problem

Simulation of a single n

Using the pbirthday function

Make a plot

Monty Hall

Win probability with "stick"

Writing a function to "switch"

Win probability with "switch"

Introduction and Classic Puzzles

In this chapter, we explore games in which dice are rolled, including Yahtzee, Settlers of Catan, and Craps. You will learn tools such as using built-in R functions to calculate combinatorics, and using functions such as replicate and the %in% operator.

Yahtzee

Probabilitas sebuah Yahtzee

Peluang straight besar

Probabilitas full house

Settlers of Catan

Simulasikan satu permainan

Simulasikan 10000 permainan

Craps

Fungsi untuk terus melempar saat point sudah ditetapkan

Fungsi untuk menjalankan satu ronde

Probabilitas memenangkan taruhan pass line

Games with Dice

The puzzles in this chapter were inspired by ideas encountered on the internet. In order to solve them, you will learn to combine tools such as nested for loops, and the functions round, identical, and sapply.

Factoring a Quadratic

Which condition will return TRUE?

Write a function to check factorability

Simulate the factorable probability

Four Digit iPhone Passcodes

Four known values

Three known values

Sign Error Cancellations

Simulate sign errors: constant probabilities

Simulate sign errors: changing probabilities

Inspired from the Web

This chapter explores questions in poker, including the most often televised version of Texas Hold'em. We will learn to code for win probabilities with any given number of outs, and also explore a more theoretical model of poker known as the von Neumann model. We will learn to use functions such as Reduce, runif, and ifelse.

Texas Hold'em

Calculate expected value with one card to come

Two cards to come

Consecutive Cashes

Two consecutive years

Function to evaluate set of five years

Simulate probability for a given set of five years

von Neumann Model of Poker

One round of von Neumann Poker

Function to simulate one round with betting

Simulate many iterations of von Neumann model

Congratulations!

Poker

Ingin meningkatkan kemampuan probabilitas Anda ke tingkat berikutnya? Kursus ini akan membantu Anda mencapainya, dengan pembelajaran berbasis masalah menggunakan teka-teki probabilitas sebagai kerangka. Saat Anda dipandu melalui penyelesaiannya, Anda akan memperoleh alat pemrograman dan strategi umum untuk menyelesaikan masalah probabilitas yang mungkin Anda temui dalam banyak situasi lain. Diatur berdasarkan tema, kursus dimulai dengan masalah klasik seperti Masalah Ulang Tahun dan Monty Hall, dan diakhiri dengan teka-teki yang melibatkan poker seperti Texas Hold'em dan World Series of Poker!

Intermediate R

Foundations of Probability in R

Pelajari cara menjawab soal probabilitas di R dengan strategi dan kerangka yang efektif.

Teka-teki Probabilitas di R

Pelajari strategi untuk menjawab soal-soal probabilitas di R dengan menyelesaikan berbagai teka-teki probabilitas.

Simulasikan satu permainan

Teka-teki Probabilitas di R

Petunjuk latihan

Latihan interaktif praktis