Let’s solve each part step by step.
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Question 3: Spinner Probabilities
First, let’s count how many of each shape are on the spinner.
The spinner is divided into 10 equal sections (we can count them).
Shapes:
- Triangles: Let’s count — there are
4 triangles
- Stars: There are
3 stars
- Circles: There is
1 circle
- Squares: There are
2 squares
Total = 4 + 3 + 1 + 2 = 10 → correct.
Now answer each part:
a. Which shape is the spinner most likely to land on?
→ The shape with the most sections. That’s
triangles (4 out of 10).
b. Which shape is the spinner least likely to land on?
→ The shape with the fewest sections. That’s
circle (only 1 out of 10).
c. Is it more likely that the spinner will land on either a star or a circle than a triangle? Why or why not?
→ Star or circle together: 3 stars + 1 circle =
4 sections
→ Triangle alone:
4 sections
So, 4 vs 4 → they are equally likely.
But wait — let’s double-check:
Star or circle = 3 + 1 = 4
Triangle = 4
Yes, same number. So it’s
not more likely — it’s
equally likely.
Answer: No, because there are 4 sections for “star or circle” and 4 sections for “triangle”. Same chance.
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Question 4: True or False Scenarios
These test understanding of probability and logic — especially that past events don’t always affect future independent events.
a. It was raining on Monday, Tuesday and Wednesday of one week. So, the following week it will be also be raining on Monday, Tuesday and Wednesday.
→ Weather isn’t guaranteed to repeat just because it happened before. This is false.
b. Sarah tossed a coin and it landed on heads. This means that the next time she tosses the coin it will land on tails because she has already landed on heads.
→ Coin tosses are independent. Past result doesn’t change next toss. Still 50/50. So this is false.
c. It is a very hot day and Chris wants to go outside and play. The sun is extremely hot so Chris will need to wear sunscreen and a hat to protect his skin.
→ This is logical advice based on cause and effect (sunburn risk). Not about probability — it’s practical safety. So this is true.
d. Rebecca’s mum had a baby girl two years ago and she is about to have another baby. She has already had two girls which means the next baby has to be a boy.
→ Each baby’s gender is independent (roughly 50/50). Having two girls doesn’t force the next to be a boy. So this is false.
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Final Answer:
3a. triangle
3b. circle
3c. No, because there are 4 sections for “star or circle” and 4 sections for “triangle”, so they are equally likely.
4a. false
4b. false
4c. true
4d. false
Parent Tip: Review the logic above to help your child master the concept of statistic and probability worksheet.
