Same value, three forms
Divide to get the decimal; multiply by 100 for the percent.
Why it works
One chance, three costumes.
Data & Probability · Probability · 3.2
Fractions, decimals, percents.
A probability can be written three equivalent ways: as a fraction, a decimal, or a percent. P = 1/4 = 0.25 = 25%. All probabilities sit between 0 (impossible) and 1 (certain).
See it work.
Watch the method
Fractions, decimals, percents
1/4 = 0.25 = 25%.
A bag of 4 tiles has 1 winners. P(winner) as a fraction?
1
As a fraction
Favorable over total, reduced.
2
As a decimal & percent
Divide to get the decimal, then ×100 for the percent.
Practice until it feels automatic.
Your turn
Work it out.
Type the answer as a fraction, decimal, or percent (e.g. 1/4, 0.25, 25%).
streak 0
best 0
…
The idea underneath.
From easy to tricky.
A bag of 20 tiles has 10 winners. P(winner) as a fraction?
1
As a fraction
Favorable over total, reduced. 10/20 = 1/2
2
As a decimal & percent
Divide to get the decimal, then ×100 for the percent. = 0.5 = 50%
A bag of 4 tiles has 1 winners. P(winner) as a fraction?
1
As a fraction
Favorable over total, reduced. 1/4 = 1/4
2
As a decimal & percent
Divide to get the decimal, then ×100 for the percent. = 0.25 = 25%
A bag of 8 tiles has 6 winners. P(winner) as a fraction?
1
As a fraction
Favorable over total, reduced. 6/8 = 3/4
2
As a decimal & percent
Divide to get the decimal, then ×100 for the percent. = 0.75 = 75%
Where students slip.
Trap
Percent over 100%.
Fix
A probability can’t exceed 1 (100%).
Trap
Misplacing the decimal.
Fix
Dividing 1 by 4 gives 0.25, not 2.5.
Test yourself.
The Test
12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.
0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so
t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).Core
Core (4)
C1
A bag of 4 tiles has 1 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
C2
A bag of 10 tiles has 7 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
C3
A bag of 8 tiles has 2 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
C4
A bag of 8 tiles has 4 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
Apply
Apply (4)
A1
A bag of 10 tiles has 6 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
A2
A bag of 8 tiles has 3 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
A3
A bag of 8 tiles has 4 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
A4
A bag of 8 tiles has 6 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
Extension
Extension (4)
E1
A bag of 4 tiles has 1 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
E2
A bag of 8 tiles has 6 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
E3
A bag of 4 tiles has 2 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.
E4
A bag of 8 tiles has 7 winners. P(winner) as a fraction?
Need a hint?
- Reduce the fraction first.
- Divide for the decimal; ×100 for the percent.