Questions to prepare for the quiz¶

  • Homework 4 question 1

  • Week 4 Lecture Notes Coin Flip

  • Week 4 Lecture Notes Drawing Balls out of a Hat

  • Week 4 Lecture Notes Birthday Problem

  • Review Course Notes

  • Titanic.csv: find the number of passenger in each Pclass (using groupby and truth indices)

Question 1: Catan dice roll (5 pts)¶

Imagine you are playing a friendly game of Catan with your friend. On their turn, they role the two dice and it's a seven, again. This is the fourth time in a row that they have rolled a seven, moved the robber, and stolen yet another one of your resources. Your dreams of building a settlement are over as your friend steals your only sheep. You are feeling suspicious of your friend and want to know the probablity that this would occur randomly.

For this question, you will simulate the probability of getting four consecutive sevens with two dice. Your simuation will repeat the four consecutive roles 10000 times. Save your probability to the prob_of_four_sevens variable.

Hint: Simulate each die seperately and add the resulting numpy arrays together

Week 4 Lecture Questions¶

  • What is probability of there being two or more heads in 5 flips?
  • Suppose there are equal numbers of balls in a hat (purple, blue, cyan, red) What is an approximate value of probability of getting exactly two blue and two purple balls if you take 7 balls out, replacing after each draw?
  • Assuming birthdays are evenly distributed across 365 days a year, what is the probability of two members of our class (25 today) -- having same birthday?

Wordle Question¶

Every day, the New York Times game Wordle choses a five letter word from a list of 2,309 words that players have six attempts to guess correctly. After each attempt, the player recieves feedback on whether the letters they used are in the word and in the right location. For this question, you will be simulating the probability that the word is guessed correctly on the first attempt and that multiple player guess the same word.

The three scenarios that you will simulate are:

  1. A player guesses the word on their first attempt assuming their choice is random.
  2. One or more people in the same class of 45 people randomly guess the right word assumming they randomly pick six different words.
  3. Two or more people in the same class of 45 people randomly guess the same word on their first attempt.

Each simulation should run 10000 times. Assign your probabilities for the three scenarios to scen1, scen2, and scen3 respectively.

Hint 1: You can use an array of integers to represent the words
Hint 2: Use replace = False in the random choice function to ensure the same word is not picked twice

Question 1a from Homework 3¶

This is a good question to refresh on multiple logical conditions within truth indices

From the titanic dataset notebook on the bds311.github.io website¶

1. What is the mean Fare for each Fare Class?¶

A reminder that titanic.csv is located in hub_data_share/lecture_data/

This whole notebook can serve as a guide for groupby and truth indices, but the "What is the mean Fare for each Fare Class" question in this notebook is a problem around the same difficultly you can expect on this quiz.

2. Survival Rates for Males and Females¶

This is a good question to review mutliple columns within a groupby method.