7 Section Spinner Probabilities (A) - Free Printable

Let's solve each part of the "Chances and Probability" worksheet step by step.

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Question 1: Match the events to Possible, Impossible, or Certain

We need to classify each event as:

- 1. Possible – could happen, but not guaranteed
- 2. Impossible – cannot happen under any circumstances
- 3. Certain – will definitely happen

#### a. Today is Monday and tomorrow will be Tuesday.
✔ Certain – This is always true in the standard calendar.
→ Answer: 3. Certain

#### b. You will throw a 7 with a single die.
✘ A standard die has numbers 1 through 6. So rolling a 7 is impossible.
→ Answer: 2. Impossible

#### c. Your friend will call you tonight.
❓ This might happen, but it’s not guaranteed. It’s uncertain, but possible.
→ Answer: 1. Possible

#### d. A cat giving birth to a dog.
✘ Biologically impossible. Cats and dogs are different species; a cat cannot give birth to a dog.
→ Answer: 2. Impossible

#### e. The sun will rise on Wednesday.
✔ The sun rises every day (assuming Earth’s rotation continues). This is a natural certainty.
→ Answer: 3. Certain

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✔ Answers for Question 1:

| Event | Answer |
|------|--------|
| a | 3. Certain |
| b | 2. Impossible |
| c | 1. Possible |
| d | 2. Impossible |
| e | 3. Certain |

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Question 2: Five friends decided where to go. Each wrote a choice:

Choices written:
- Movie
- Water Park
- Hill Station
- Restaurant
- Water Park

So the list is:
1. Movie
2. Water Park
3. Hill Station
4. Restaurant
5. Water Park

Total = 5 choices

Now, calculate probabilities:

#### a. P(Boating) = ?

There is no mention of "Boating" in the choices. None of the five friends chose boating.

→ So, P(Boating) = 0/5 = 0

✔ Answer: 0

#### b. P(Water Park) = ?

Two friends chose "Water Park".

→ Number of favorable outcomes = 2
Total outcomes = 5
→ P(Water Park) = 2/5

✔ Answer: 2/5

#### c. P(Long Drive) = ?

No one chose "Long Drive". It's not listed.

→ So, P(Long Drive) = 0/5 = 0

✔ Answer: 0

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✔ Answers for Question 2:

a. P(Boating) = 0
b. P(Water Park) = 2/5
c. P(Long Drive) = 0

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Question 3: What is the probability of choosing a vowel from the word "PHOTOSYNTHESIS"?

Step 1: Write the word:
P H O T O S Y N T H E S I S

Step 2: Count total letters
→ There are 12 letters

Step 3: Identify vowels in the word
Vowels: A, E, I, O, U

Now, find how many vowels are in "PHOTOSYNTHESIS":

- P → consonant
- H → consonant
- O → vowel ✔
- T → consonant
- O → vowel ✔
- S → consonant
- Y → sometimes considered a vowel, but here it's acting as a consonant (in "synthesis")
- N → consonant
- T → consonant
- H → consonant
- E → vowel ✔
- S → consonant
- I → vowel ✔
- S → consonant

So vowels: O, O, E, I → That’s 4 vowels

Note: 'Y' is not counted as a vowel here because it’s not functioning as a vowel sound in this context.

✔ Total vowels = 4
Total letters = 12

So, probability = 4 / 12 = 1/3

✔ Answer: 1/3

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✔ Final Answers:

#### Question 1:
a. 3. Certain
b. 2. Impossible
c. 1. Possible
d. 2. Impossible
e. 3. Certain

#### Question 2:
a. P(Boating) = 0
b. P(Water Park) = 2/5
c. P(Long Drive) = 0

#### Question 3:
Probability of choosing a vowel from "PHOTOSYNTHESIS" = 1/3

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