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Course: Statistics and probability > Unit 7
Lesson 4: Experimental probabilitySimulation and randomness: Random digit tables
We can simulate events involving randomness like picking names out of a hat using tables of random digits. Tables of random digits can be used to simulate a lot of different real-world situations. Here's lines of random digits we'll use in this worksheet:
Line :
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Things to know about random digit tables:
- Each digit is equally likely to be any of the
digits through . - The digits are independent of each other. Knowing about one part of the table doesn't give away information about another part.
- The digits are put in groups of
just to make them easier to read. The groups and rows have no special meaning. They are just a long list of random digits.
Problem 1: Getting a random sample
There are students in a lunch period, and of them will be selected at random for cleaning duty every week. Each student receives a number and the school uses a random digit table to pick the students as follows:
- Start at the left of Line
in the random digits provided. - Look at
-digit groupings of numbers. - If the 2-digit number is anything between
and , that student is assigned lunch duty. Skip any other -digit number. - Skip a
-digit number if it has already been chosen.
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Problem 2: Doing a simulation
A cereal company is giving away a prize in each box of cereal and they advertise, "Collect all prizes!" Each box of cereal has prize, and each prize is equally likely to appear in any given box. Caroline wonders how many boxes it takes, on average, to get all prizes.
She decides to do a simulation using random digits as follows:
- Start at the left of Line
in the random digits provided. - Look at single digit numbers.
- The digits
represent the different prizes. - She ignores the digits
. - One trial of the simulation is done when all
digits have appeared. - At the end of the trial, she counts how many digits it took for every digit
to appear (ignoring the other digits).
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