Let’s solve each problem step by step.
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Problem 1:
You think of a number from two to eight. What is the probability that the number will be 5?
Step 1: List all possible numbers you can think of.
From 2 to 8 inclusive:
→ 2, 3, 4, 5, 6, 7, 8 → That’s
7 numbers total.
Step 2: How many of those are “5”?
→ Only
one (just the number 5).
Step 3: Probability = (favorable outcomes) / (total possible outcomes)
→ 1 / 7
✔ Final Answer for Problem 1:
1/7
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Problem 2:
Each letter in the word LOUVRE is on separate cards. Pick one at random. What’s the probability it’s L or O?
Step 1: Write out the letters in “LOUVRE”:
→ L, O, U, V, R, E → That’s
6 letters total.
Step 2: Which ones are L or O?
→ L and O → That’s
2 favorable letters.
Step 3: Probability = 2 / 6
Simplify: divide numerator and denominator by 2 →
1/3
✔ Final Answer for Problem 2:
1/3
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Problem 3:
You roll a six-sided die. What’s the probability the roll is Six?
Step 1: A standard die has faces: 1, 2, 3, 4, 5, 6 →
6 total outcomes.
Step 2: Only one face is “Six” →
1 favorable outcome.
Step 3: Probability = 1 / 6
✔ Final Answer for Problem 3:
1/6
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Problem 4:
Bag has 5 black, 7 red, 8 orange pencils. Pick one without looking. What’s the probability it’s black?
Step 1: Total pencils = 5 + 7 + 8 =
20 pencils
Step 2: Black pencils =
5
Step 3: Probability = 5 / 20
Simplify: divide numerator and denominator by 5 →
1/4
✔ Final Answer for Problem 4:
1/4
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Final Answer:
1. 1/7
2. 1/3
3. 1/6
4. 1/4
Parent Tip: Review the logic above to help your child master the concept of probability word problems worksheet.