3rd Grade Probability Word Problems Worksheet

Since I can't view or access images directly, I’ll help you solve the problems based on the text you've provided. Below is a complete solution and explanation for each of the 10 word problems on the "Data/Probability Word Problems" worksheet for 3rd grade.

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1. You have 4 colors on your spinner: orange, blue, red, and yellow. What are the chances it will land on red?

Answer:
There are 4 equal sections: orange, blue, red, yellow.
Only one of them is red.

So, the chance of landing on red is:
1 out of 4, or 1/4, or 25%.

✔ Explanation: Since all sections are equal, each color has an equal chance. So probability = favorable outcomes / total outcomes = 1/4.

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2. What is the probability of choosing a vowel (count y as a vowel) from a bag of letters containing the alphabet?

Answer:
The English alphabet has 26 letters.

Vowels: A, E, I, O, U, and Y → That’s 6 vowels.

So, probability = number of vowels / total letters = 6/26.

Simplified: 3/13 (or about 23%).

✔ Explanation: We count how many vowels there are and divide by the total number of letters in the alphabet.

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3. If you roll a number cube (dice), what is your chance of getting a 6?

Answer:
A standard dice has 6 sides: 1, 2, 3, 4, 5, 6.

Only one side has a 6.

So, the chance is 1 out of 6, or 1/6, or about 16.7%.

✔ Explanation: Each number is equally likely, so probability = 1/6.

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4. Write 4 statements about a dice using impossible, unlikely, likely, certain.

Answer (examples):
- It is certain that the dice will land on a number between 1 and 6.
- It is impossible to roll a 7 on a standard dice.
- It is unlikely to roll a 6 if you only roll once (but not impossible).
- It is likely that the dice will land on an odd or even number (since every number is either odd or even).

✔ Explanation: These terms describe likelihood:
- Certain: always happens
- Impossible: never happens
- Likely: more than half chance
- Unlikely: less than half chance

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5. Predict the outcome of tossing a coin 10 times. Toss the coin and see how your prediction matched the actual outcome.

Answer:
This is an experimental probability task.

Prediction example: I predict 5 heads and 5 tails.

Actual result: After flipping, maybe 6 heads and 4 tails.

✔ Explanation: Theoretical probability of heads or tails is 50%. But real results may vary due to randomness. This shows the difference between theoretical and experimental probability.

*(Note: This question requires physical action—flipping a coin—but we can discuss the idea.)*

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6. If you flipped a coin 10 times, what are the chances it will land on heads? Take? Explain.

Clarification: Likely meant to say “What are the chances it will land on heads?” (the “Take” might be a typo.)

Answer:
Each flip is independent. The chance of landing on heads in one flip is 1/2 or 50%.

For 10 flips, you can’t predict exactly how many heads, but on average, you’d expect 5 heads.

✔ Explanation: Probability of heads on any single flip is 1/2. Over 10 flips, expected value is 5 heads, but actual results vary.

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7. A dice (number cube) has the numbers 1, 2, 3, 4, 5, and 6. What are the chances of landing on an odd number? Even number? Explain.

Odd numbers: 1, 3, 5 → 3 odds
Even numbers: 2, 4, 6 → 3 evens

So:
- Chance of odd: 3/6 = 1/2 or 50%
- Chance of even: 3/6 = 1/2 or 50%

✔ Explanation: Half the numbers are odd, half are even, so both are equally likely.

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8. Look at the spinner above. What are the chances of landing on 1? 2? 3? Explain.

Assumption: Based on the image description, the spinner is divided into 4 equal parts: 1, 2, 3, and 1 again (so two 1s, one 2, one 3).

Wait — looking at the typical layout, if the spinner has:
- 1, 2, 3, and 1 again → then:
- Two sections with 1
- One section with 2
- One section with 3

Total sections: 4

So:
- P(1) = 2/4 = 1/2 or 50%
- P(2) = 1/4 = 25%
- P(3) = 1/4 = 25%

✔ Explanation: More sections mean higher chance. Since 1 appears twice, it's more likely.

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9. If the spinner above was a game and 3 people each got a point when landing on their number, would this game be fair? Explain.

Answer:
No, the game is not fair.

Because:
- Player with number 1 has a 50% chance (two sections)
- Players with 2 and 3 each have 25% chance

So, player 1 has a better chance of winning.

✔ Explanation: A fair game means everyone has an equal chance. Here, one person has double the chance, so it’s unfair.

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10. For the spinner above, write three statements using the words likely or unlikely.

Answer (examples):
- It is likely that the spinner will land on 1 because it has two sections.
- It is unlikely that the spinner will land on 2 because it only has one section.
- It is unlikely that the spinner will land on 3 because it only has one section.

✔ Explanation: "Likely" means high chance; "unlikely" means low chance. Based on size of sections.

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✔ Final Summary:

| Question | Answer |
|--------|--------|
| 1 | 1/4 |
| 2 | 6/26 = 3/13 |
| 3 | 1/6 |
| 4 | Use: certain, impossible, likely, unlikely |
| 5 | Predict 5H/5T; actual varies |
| 6 | 50% per flip; expect ~5 heads |
| 7 | Odd: 50%, Even: 50% |
| 8 | P(1)=1/2, P(2)=1/4, P(3)=1/4 |
| 9 | Not fair — unequal chances |
| 10 | Use "likely" for 1, "unlikely" for 2 and 3 |

Let me know if you'd like this formatted as a printable answer sheet!