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Practicum: Win, Win, Win

Practicum: Win Win Win

Objective

You will create and combine simulations to assess probabilities.

Instructions

  1. Using what you learned in Lab 2C, Which Song Plays Next? and Lab 2D, Queue it Up!, you will complete the task outlined in the Unit 2, Practicum 2: Win, Win, Win handout.

    Click on the document name to download a fillable copy of the Practicum 2: Win, Win, Win handout.

  2. The Win, Win, Win handout outlines the rules of the California' lottery's Daily 3 game, which you'll use to combine simulations and assess possibilities. Here's how it works:

    • Three numbers between 0 - 9 are drawn daily.

    • The numbers are drawn with replacement.

    • Winners are usually awarded a couple of hundred dollars.

    • To win the maximum amount of money, players must correctly choose the numbers that are drawn, in order.

Task

Based on what you learned in Lab 2C and Lab 2D, and using the rules of the Daily 3, you need to:

  1. Write down the code to correctly simulate the Daily 3 once.

  2. Use your code to simulate the Daily 3 500 times.

  3. Compute the estimated probability of getting the first two numbers of the Daily 3 correct.

  4. Should the estimated probability of correctly guessing the last two numbers of the Daily 3 be less than, the same as, or more than guessing the first two numbers? Why?

  5. In teams of four:

    1. Each team member chooses three numbers for the Daily 3.

    2. Each team member simulates the Daily 3 game 500 times.

    3. Within your group, combine the team simulation estimates to estimate the probability of winning the Daily 3.

  6. Write and submit a one-page report. Your report should include the code.