This printable probability worksheet helps students understand chance by matching visual diagrams to descriptive terms and creating their own examples.

Let’s solve this step by step.

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## Part 1: Match each diagram to its correct probability

We are given 6 diagrams (circles divided into parts) and 6 probability descriptions. We need to match them based on how much of the circle is shaded or how the sections are divided.

Diagram Analysis:

Left Column (Top to Bottom):

1. Top-left diagram: A circle divided into 4 equal parts — all unshaded. But since it's divided equally, this represents equal chance — like 4 possible outcomes, each with same probability. However, note that in probability matching, we often look at *shaded area* as the “favorable” outcome. But here, none are shaded — so perhaps this is meant to represent a situation where outcomes are equally likely? Actually, let’s look again — maybe the lines indicate sections, not shading. Wait — looking at the right column, some have shaded areas.

Actually, re-examining — the key is the shaded region.

Let me reinterpret:

In probability circles, the shaded part usually represents the event we’re measuring.

So let’s look at right column first, since they have shading:

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Right Column (Top to Bottom):

1. Top-right: Circle divided into 3 equal parts, 1 shaded → 1 in 3 chance
2. Middle-right: Circle divided into 2 equal parts, 1 shaded → 50-50 chance (or equal chance)
3. Bottom-right: Very small shaded wedge → unlikely or less likely

Now left column:

1. Top-left: Circle divided into 4 equal parts — no shading? But perhaps it’s meant to be “equal chance” because all sections are equal — but actually, if nothing is shaded, it’s 0 chance — which doesn’t fit. Wait — perhaps the diagram is showing division, and we’re to assume the shaded part is implied? This is ambiguous.

Wait — perhaps I misread. Let’s look at ALL diagrams carefully.

Actually, looking again — only the top-right and bottom-right have shading. The others have lines dividing the circle, but no shading. So maybe the shading is only in two diagrams?

That can’t be — there must be shading in more.

Wait — in the top-left diagram, it’s divided into 4 quadrants — but no shading. In middle-left, a circle with one large sector (about 1/3?) and two smaller ones — no shading. In bottom-left, a very small triangle shaded? Ah — yes! Look closely:

- Bottom-left: There is a small shaded triangle near the bottom — very small area → unlikely or less likely
- Middle-left: A circle with one large sector (maybe 120° or 1/3) — but no shading? Wait — perhaps the shaded part is the large sector? No — it’s just outlined.

This is confusing. Perhaps the shading is only in the right column, and the left column is just showing divisions without shading — meaning we interpret the *size of the section* as the probability.

But the instructions say “match each diagram to its correct probability” — so we must infer from the visual representation.

Let me try a different approach — match based on common interpretations:

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✔ Top-right diagram: 3 equal slices, 1 shaded → 1 in 3 chance

✔ Middle-right: Half shaded → 50-50 chance

✔ Bottom-right: Tiny shaded slice → unlikely

Now left column:

✔ Top-left: 4 equal sections — if we assume one is “chosen”, it’s 1 in 4 — but that’s not listed. But “equal chance” could mean each outcome has equal probability — so this matches equal chance

✔ Middle-left: A circle with one large sector (looks like ~1/3) and two smaller ones — but if we consider the large sector as the event, it’s about 1/3 — but we already used “1 in 3” for top-right. Alternatively, if the large sector is >50%, then it’s more likely

✔ Bottom-left: Small shaded triangle — very small → less likely

But now we have conflict — both bottom-right and bottom-left are small — which is which?

Actually, bottom-right has a very thin vertical slice — even smaller than bottom-left’s triangle.

So:

- Bottom-right: Smallest shaded area → unlikely
- Bottom-left: Small but larger than bottom-right → less likely

And middle-left: Large sector (probably >50%) → more likely

Top-left: 4 equal parts → equal chance (each part has equal probability)

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Final Matching:

Left Column:

- Top-left → equal chance
- Middle-left → more likely
- Bottom-left → less likely

Right Column:

- Top-right → 1 in 3 chance
- Middle-right → 50-50 chance
- Bottom-right → unlikely

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✔ So the correct matches are:

- Top-left diagram → equal chance
- Middle-left diagram → more likely
- Bottom-left diagram → less likely
- Top-right diagram → 1 in 3 chance
- Middle-right diagram → 50-50 chance
- Bottom-right diagram → unlikely

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## Part 2: Write an event with that chance

Now, for each probability term, write a real-life example.

1. unlikely

> Example: Winning the lottery.

*(Because the chance is extremely low — e.g., 1 in millions)*

2. equal chance

> Example: Rolling a 3 on a fair 6-sided die.

*(Each number has 1/6 chance — equal among outcomes)*

3. more likely

> Example: Picking a red marble from a bag with 7 red and 3 blue marbles.

*(7 out of 10 — more than half — so more likely)*

4. 1 in 3 chance

> Example: Spinning a spinner divided into 3 equal sections and landing on a specific color.

*(Exactly 1 out of 3 outcomes)*

5. 50-50 chance

> Example: Flipping a fair coin and getting heads.

*(Exactly half chance)*

6. less likely

> Example: Drawing a king from a standard deck of 52 cards.

*(4 kings out of 52 = 1/13 — less than 50% — so less likely than not)*

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## ✔ Final Answer Summary:

Part 1: Matching

- Top-left diagram → equal chance
- Middle-left diagram → more likely
- Bottom-left diagram → less likely
- Top-right diagram → 1 in 3 chance
- Middle-right diagram → 50-50 chance
- Bottom-right diagram → unlikely

Part 2: Events

- unlikely → Winning the lottery
- equal chance → Rolling a 3 on a fair die
- more likely → Picking a red marble from a bag with 7 red and 3 blue
- 1 in 3 chance → Spinning a 3-section spinner and landing on one specific section
- 50-50 chance → Flipping a coin and getting heads
- less likely → Drawing a king from a standard deck of cards

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Let me know if you’d like this formatted as a worksheet answer key!