Chance

Name: Chance
Author: StemPy Lab

In this short course you find the probability of an event by counting, check it with a simulation, and find the chance of two things happening together. You learn why a short run of tosses can mislead and a long run does not. The code boxes only need Run and a few changed numbers.

3 lessons, about 1 h 30 min3 simulations10 problems6 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 30 min
What is probability?
A probability is a number from 0 to 1 that says how likely an event is: 0 is impossible, 1 is certain. When all the outcomes are equally likely, the probability is the number of outcomes we want divided by the number of all the outcomes. The chance that an event does not happen is 1 minus its probability.
1 simulation2 practice questions2 Python programs4 problems1 question set
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Lesson 2about 30 min
Experiments and the long run
We can find a probability by doing an experiment many times. The relative frequency, the number of successes divided by the number of tries, jumps about in a short run and settles near the true probability in a long run. A fair coin that lands heads 5 times in a row is still 50 percent likely to land heads next time, because it has no memory.
1 simulation2 practice questions2 Python programs2 problems1 Python lab
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Lesson 3about 30 min
Two events together
To find the chance of two events together, list all the equally likely pairs and count the ones we want. Two dice have 36 pairs, and six of them make a sum of 7. For two coins the pairs are HH, HT, TH and TT. For at least one, find the chance of none and take it from 1. Taking a second marble without putting the first back changes the chances.
1 simulation2 practice questions2 Python programs4 problems1 Python lab1 note
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Chance: Challenge Paper

10 questions · 15 min

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Chance

Course outline (3 lessons)

What is probability?

Experiments and the long run

Two events together

Test Your Learning

Your teacher

Discussion (0)