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  3. Probability Puzzles in R
  • 1

    Introduction and Classic Puzzles

    Free

    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.

  • 2

    Games with Dice

    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.

  • 3

    Inspired from the Web

    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.

  • 4

    Poker

    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.

Initializing

Exercise

Function to run one round

Now, let us use the function from the previous exercise, and write one overall function, called evaluate_first_roll, to complete one round of Craps. As seen in the sample code below, this function will take the shooter's first roll as its input, and proceed accordingly from there. The roll_dice and roll_after_point functions have been preloaded for you.

Instructions

100 XP
  • Use the %in% operator to check whether the roll is a 7 or 11, resulting in an immediate win.
  • Use the %in% operator to check whether the roll is a 2, 3, or 12, resulting in an immediate loss.
  • If a point is established, continue rolling until either the point is rolled again, resulting in a win, or a 7 is rolled, resulting in a loss.