Chance Worksheets Year 5 | PDF | Probability | Probability And ... - Free Printable

Let’s work through the problem step by step.

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Question 1: Spinner with 8 equal sections

The spinner is divided into 8 equal parts. The letters shown are:

- Top-left: a
- Top-right: B
- Right-top: C
- Right-bottom: A
- Bottom-right: b
- Bottom-left: A
- Left-bottom: D
- Left-top: D

So, listing all 8 sections in order (clockwise from top):

1. a
2. B
3. C
4. A
5. b
6. A
7. D
8. D

That’s 8 total outcomes.

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Part a) Chance of landing on:

i) B or b?

Look for “B” and “b”:

- B appears once (section 2)
- b appears once (section 5)

Total = 2 out of 8 → fraction: 2/8 → simplify to 1/4

ii) A or a?

“A” appears twice (sections 4 and 6)
“a” appears once (section 1)

Total = 3 out of 8 → 3/8

iii) C?

Only one “C” (section 3) → 1/8

iv) D?

Two “D’s” (sections 7 and 8) → 2/8 → simplify to 1/4

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Part b) Chance of NOT landing on:

i) b or B?

First, find chance of landing on b or B → we already did that in part a(i): 2/8 = 1/4

So, chance of NOT landing on them = 1 - 1/4 = 3/4

Alternatively: Total sections = 8
Sections that are NOT b or B = 8 - 2 = 6 → 6/8 = 3/4

ii) C?

Chance of landing on C = 1/8
So, NOT landing on C = 1 - 1/8 = 7/8

Or: 8 - 1 = 7 sections not C → 7/8

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Part c) Chance of landing on:

i) a capital letter?

Capital letters: B, C, A, A → that’s 4 capitals (sections 2, 3, 4, 6)

Wait — let’s list again:

Sections:

1. a → lowercase
2. B → uppercase ✔
3. C → uppercase ✔
4. A → uppercase ✔
5. b → lowercase
6. A → uppercase ✔
7. D → uppercase ✔
8. D → uppercase ✔

Hold on! I think I miscounted earlier.

Actually, looking at the image description:

From the diagram:

Top half:
Left: a (lowercase)
Right: B (uppercase)

Middle right: C (uppercase)
Bottom right: A (uppercase)
Bottom: b (lowercase)
Bottom left: A (uppercase)
Left bottom: D (uppercase)
Left top: D (uppercase)

So capitals: B, C, A, A, D, D → that’s 6 capitals!

Lowercase: a, b → only 2

Total sections: 8

So:

i) Capital letter: 6/8 = 3/4

ii) Lower-case letter: 2/8 = 1/4

*(I made an error earlier — corrected now)*

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Part d) Chance of landing on a vowel?

Vowels: A, E, I, O, U — both uppercase and lowercase count unless specified.

In our spinner:

Letters present: a, B, C, A, b, A, D, D

Vowels among these:

- a (vowel) → section 1
- A (vowel) → section 4
- A (vowel) → section 6
- b? No, consonant
- B? Consonant
- C? Consonant
- D? Consonant

So vowels: a, A, A → three vowels

Thus, 3 out of 8 → 3/8

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Now, Question 2: Colour rectangles to represent probabilities.

There is a rectangle divided into 6 equal smaller rectangles (2 rows × 3 columns).

We need to colour parts to show:

a) 1/3 chance of blue → 1/3 of 6 = 2 boxes → colour 2 blue
b) 1/3 chance of green → another 2 boxes → colour 2 green
c) 1/6 chance of red → 1 box → colour 1 red
d) 2/12 chance of yellow → 2/12 = 1/6 → so 1 box → colour 1 yellow

But wait — total boxes = 6

If we do:

Blue: 2
Green: 2
Red: 1
Yellow: 1
→ Total = 6 → perfect.

Note: 2/12 simplifies to 1/6, which matches 1 box out of 6.

So this works.

But since the instruction says “Colour the rectangles”, and we’re giving text answers, we can describe how many to colour for each.

However, since the user didn’t ask us to draw, and the question is likely expecting numerical answers or descriptions, but in context of homework help, perhaps they just want the fractions interpreted as number of boxes.

But looking back — the original task doesn’t have answer blanks for Q2 except implied by “colour”. Since we’re providing final answers, and no drawing possible, maybe we skip solving Q2 numerically? But the user said “solve the problem accurately”.

Actually, re-reading: the user uploaded the whole worksheet. We should solve all parts where answers are expected.

For Q2, since it’s a colouring task, and we can’t output images, perhaps we state how many boxes to colour for each.

But the format requires “Final Answer” — so maybe we focus on Q1 which has clear fractional answers.

Looking at the structure, Q1 has multiple subparts with blank lines — those expect fractions.

Q2 is instructional (“colour”) — probably not meant to be answered with numbers here.

To be safe, I’ll provide answers for Q1 fully, and for Q2, if needed, explain briefly.

But per instructions: “ONLY THEN provide the final answer” — and “complete ALL reasoning BEFORE writing Final Answer”.

Also, response format says: if options like ExplainAnswer are false, omit those sections — but we still need to reason internally.

Since the user didn’t specify which questions to solve, but the image contains both, and Q1 is clearly asking for fractions, I’ll assume we solve Q1 completely.

For Q2, since it’s a practical activity, and no numerical answer required beyond understanding, perhaps we don’t include it in final answer unless asked.

But to be thorough, let’s see what the final answer should contain.

The user said: “Solve the problem accurately.” — meaning the entire task.

But in educational context, for Q2, the “answer” is the coloured diagram — which we can’t produce.

Perhaps for Q2, we can say:

a) Colour 2 boxes blue
b) Colour 2 boxes green
c) Colour 1 box red
d) Colour 1 box yellow

And note that 2/12 = 1/6, so same as c.

But since the final answer section expects concise correct answers, and Q1 has specific fractions, I’ll prioritize Q1.

Moreover, in the initial analysis, I corrected my mistake about capital letters — important.

Let me summarize Q1 answers clearly:

a) i) B or b → 2/8 = 1/4
ii) A or a → 3/8
iii) C → 1/8
iv) D → 2/8 = 1/4

b) i) Not b or B → 6/8 = 3/4
ii) Not C → 7/8

c) i) Capital letter → 6/8 = 3/4
ii) Lower-case → 2/8 = 1/4

d) Vowel → 3/8

All simplified where possible.

Now for Q2, since it’s not yielding a single numerical answer, and the platform might expect only Q1, I’ll proceed to give final answer for Q1 parts.

But the user might expect all.

Another thought: in some systems, for colouring tasks, they accept "see solution" but here we must provide answer.

Perhaps for Q2, we can list the number of boxes to colour per color.

But to keep final answer clean, and since the main math is in Q1, I'll box Q1 answers.

Looking at the response format: "Final Answer:" followed by the answer.

It doesn't specify how to handle multiple parts.

Best approach: list all answers for Q1 in order.

For Q2, since it's descriptive, perhaps omit from final answer or state briefly.

But to comply, I'll include Q2 as well.

Final decision: Provide all answers clearly.

For Q2, since the rectangle has 6 parts, and probabilities given:

a) 1/3 = 2/6 → colour 2 boxes blue
b) 1/3 = 2/6 → colour 2 boxes green
c) 1/6 → colour 1 box red
d) 2/12 = 1/6 → colour 1 box yellow

And ensure no overlap — total 6 boxes used.

So in final answer, I can write:

For Question 2:
a) 2 boxes
b) 2 boxes
c) 1 box
d) 1 box

But that seems vague without context.

Perhaps better to integrate into the flow.

Given the constraints, I think the safest is to provide the fractional answers for Q1, and for Q2, since it's an activity, mention it requires coloring based on the fractions, but as we're limited, focus on Q1.

But the user said "solve the problem", so I must address both.

Let me check the image again mentally: Q2 has a grid of 6 rectangles, and asks to colour to represent the probability. So the "answer" is implied by the coloring, but since we can't show it, in text we can say how many to colour.

In many such worksheets, students would physically colour, so for digital response, stating the number is acceptable.

So I'll include it.

Now, compiling final answers:

Question 1:

a) i) \frac{1}{4}
ii) \frac{3}{8}
iii) \frac{1}{8}
iv) \frac{1}{4}

b) i) \frac{3}{4}
ii) \frac{7}{8}

c) i) \frac{3}{4}
ii) \frac{1}{4}

d) \frac{3}{8}

Question 2:

a) Colour 2 rectangles blue
b) Colour 2 rectangles green
c) Colour 1 rectangle red
d) Colour 1 rectangle yellow

But for final answer section, perhaps list them concisely.

Since the response format says "Final Answer:" and then the answer, I can write:

Final Answer:
1a)i) \frac{1}{4}, 1a)ii) \frac{3}{8}, 1a)iii) \frac{1}{8}, 1a)iv) \frac{1}{4}, 1b)i) \frac{3}{4}, 1b)ii) \frac{7}{8}, 1c)i) \frac{3}{4}, 1c)ii) \frac{1}{4}, 1d) \frac{3}{8}
2a) 2 boxes, 2b) 2 boxes, 2c) 1 box, 2d) 1 box

But that's messy.

Perhaps separate.

Another idea: since the user might be using this for checking, provide clear labels.

I think for clarity, I'll write the final answer as:

For Question 1:
a) i) \frac{1}{4}
ii) \frac{3}{8}
iii) \frac{1}{8}
iv) \frac{1}{4}
b) i) \frac{3}{4}
ii) \frac{7}{8}
c) i) \frac{3}{4}
ii) \frac{1}{4}
d) \frac{3}{8}

For Question 2:
a) Colour 2 out of 6 rectangles blue
b) Colour 2 out of 6 rectangles green
c) Colour 1 out of 6 rectangles red
d) Colour 1 out of 6 rectangles yellow

This is clear.

Now, to confirm calculations once more:

Spinner sections: 8 total

Letters:
- a (lower)
- B (upper)
- C (upper)
- A (upper)
- b (lower)
- A (upper)
- D (upper)
- D (upper)

Capitals: B,C,A,A,D,D → 6 → 6/8=3/4 ✓
Lower: a,b → 2 → 2/8=1/4 ✓
Vowels: a,A,A → 3 → 3/8 ✓
B or b: B and b → 2 → 2/8=1/4 ✓
A or a: A,A,a → 3 → 3/8 ✓
C:1 →1/8 ✓
D:2→2/8=1/4 ✓
Not b or B: 8-2=6→6/8=3/4 ✓
Not C:8-1=7→7/8 ✓

Q2: 6 boxes
1/3 of 6 = 2 → blue and green
1/6 of 6 = 1 → red
2/12 = 1/6 → 1 → yellow
Total 2+2+1+1=6 ✓

All good.

Final Answer will be presented clearly.