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# Free probability simulations for 7th grade

These interactive probability simulations work in MS Excel, LibreOffice Calc, or any other spreadsheet program that can open xls files. Feel free to download them and use them with your students.

They use random digits and are designed for the probability lessons in Math Mammoth Grade 7 curriculum, but you can also use them without it.

## 1. Dice roller This is a simple virtual die roller (one die). It includes different sheets for 500 rolls, 1000 rolls, and 2000 rolls, so you can compare the three, and see how the experimental probabilities gets closer to the theoretical ones as we increase the number of rolls. The spreadsheet automatically calculates the frequencies for all six outcomes (1, 2, 3, 4, 5, 6) and their experimental probabilities.

## 2. Two-coin toss This simulation uses 1s and 0s to represent heads and tails of two coins. It contains two sheets: one for 200 tosses and the other for 500 tosses. The spreadsheet automatically calculates the frequencies for all four outcomes (HH, HT, TH, TT) and their experimental probabilities.

## 3. Number of males and females in a sample of 10 people

If you choose 10 people randomly, what is the probability that exactly 5 of them are male and 5 are female? Or that exactly 7 or them are male and 3 female? This simulation explores the situation with either 100, 500, or 2000 repetitions (or samples). ## 4. Sample of six students

This is a more complex simulation. We choose a sample of six students from a student population where the probability that a single student completed homework on time is 50%. The sampling is repeated either 100 or 500 times. We observe how many students out of the six completed homework on time.

The simulation uses random digits so that 0 represents a student who didn't complete homework on time and 1 represents a student who did. The spreadsheet automatically calculates the frequencies of each outcome (0-6 students), the probabilities, and draws a bar graph for the distribution.

The second sheet in the spreadsheet explores the same situation, but this time the probability that a single student completed homework on time is 70%. Probability video lessons by Maria

Math Mammoth Statistics & Probability — worktext for grades 6-7

By Maria Miller

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