Predicting counts from probability worksheets

If something happens 3 times in 10, how often is it in 200 tries? These free printable worksheets turn a probability into a predicted count — the everyday use of probability — with every answer a whole number.

Predicting counts from probability
Predicting counts from probability worksheet — Whole-number counts, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

A probability is a rate, and a count is that rate applied. P(red) = 3/10 means 3 of every 10, so over 200 spins the walk splits the tries into 20 tens and takes 3 from each: 60. Saying it as “groups of ten, three from each” is what keeps it a multiplication a child understands rather than a formula, and it is why the numbers are built so the trials always divide the denominator.

Why this sheet works

The probability is shown as a fraction on some sheets and a percent on others, because 3/10 and 30% are the same rate said two ways and a child should meet both. Either way the trial count is chosen so the answer lands whole — no sheet asks for 62.5 of anything.

How this one works

P(a win) = 75%. In 80 games, how many are wins?

80÷4=20
3×20=60
  1. 75% is 75 out of every 100, which is 3 out of every 4 after dividing both by 25. So split the 80 into groups of 4: 80 ÷ 4 = 20.
  2. Each group of 4 gives 3 of them, and there are 20 groups: 3 × 20 = 60.