The Mathematics of Maybe: Introduction to Probability: common misconceptions

If your child says… “There are two groups, so their chances match.”

Ask together

How many faces belong to each group?

What’s true

Uncertain results need not have equal chances.

If your child says… “Less likely means it cannot happen.”

Ask together

Can you find a face showing 6?

What’s true

A small chance is still above zero.

If your child says… “I divide by three because there are three landing types.”

Ask together

How many tosses gave you those records?

What’s true

The sideways count belongs to all 20 tosses.

If your child says… “I divide four matching faces by the two others.”

Ask together

How many faces could appear, including those that qualify?

What’s true

The total includes matching faces and the other faces.

If your child says… “Exactly 8 pupils will want mango.”

Ask together

Have we asked every pupil?

What’s true

A sample gives an estimate; the actual count may differ.

If your child says… “Heads must catch up now.”

Ask together

Which branch would change because earlier tosses were tails?

What’s true

Short runs can differ from half without changing the next toss’s chance.

If your child says… “At least one head means exactly one.”

Ask together

Does HH contain at least one head?

What’s true

Both heads qualify because one head is the minimum.

If your child says… “Four paths always means a quarter for each.”

Ask together

What would change if one branch had a different chance?

What’s true

Paths have equal chances only when their branch products match.