Probability
Probability with numbers worksheets
Find the chance of selecting a number from a finite set. Practice ranges up to 10, 25 or 50, count favorable outcomes and simplify the probability with an explained answer key.
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Single die probability worksheets
Explore six equally likely outcomes on a fair die. Choose number, multiple-and-divisor or factor questions, then print a worksheet and a separate explained answer key.
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Use the sample space 1, 2, 3, 4, 5, 6. Count the faces that meet the condition and write the probability in simplest form.
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Customize this worksheetCount the outcomes that match the event
Each question makes its experiment and event explicit. The answer key connects the favorable count with the whole sample space, then simplifies the fraction. Selected question families control what appears on the sheet.
A probability is a property of the stated model. When outcomes are not equally likely, a simple count of different labels is not enough. With two dice, use 36 ordered pairs rather than eleven possible sums.
Learning objective
What this activity builds
Find simple event probabilities using the six possible results of one fair six-sided die.
Worked example
A fair six-sided die is rolled. What is the probability of rolling a factor of 6?
4/6 = 2/3.
The faces 1, 2, 3 and 6 are factors of 6, because each divides 6 with no remainder. The favorable count is four; the total possible count is six.
Teaching notes
Make the practice count
- Begin with a specific number or an odd/even event.
- Separate factors of a number from multiples of a number.
- Use impossible and certain events to connect probabilities with 0 and 1.
- A short physical experiment need not reproduce the theoretical fraction exactly.
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