Let’s go through each problem one by one. I’ll explain how to solve them step by step, and then give you the final answers at the end.
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Problem 1: If you roll a die, what are the chances of rolling a two?
A standard die has 6 sides: numbers 1, 2, 3, 4, 5, 6.
Only
one side is a “2”.
So, chance = (number of ways to get a 2) ÷ (total possible outcomes)
= 1 ÷ 6
✔ Answer:
1/6
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Problem 2: If you roll a die, what is the probability that you will roll an even number?
Even numbers on a die: 2, 4, 6 → that’s
3 numbers.
Total outcomes: 6
Probability = 3 ÷ 6 = 1/2
✔ Answer:
1/2
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Problem 3: A bag contains 3 red marbles, 3 blue marbles, and 1 green marble. What is the probability the marble drawn will be blue?
Total marbles = 3 red + 3 blue + 1 green =
7 marbles
Blue marbles = 3
Probability = 3 ÷ 7
✔ Answer:
3/7
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Problem 4: A bag contains 4 number tiles: 3, 8, 9, 13, 15. Wait — that’s 5 numbers! Let me check again.
Wait — the problem says: “A bag contains 4 number tiles. The numbers in the bag are 3, 8, 9, 13, and 15.” That’s actually
5 numbers, not 4. Probably a typo in the question. But we’ll go with the list given: 3, 8, 9, 13, 15 → that’s 5 tiles.
Odd numbers: 3, 9, 13, 15 → that’s
4 odd numbers
Even numbers: only 8 → 1 even
We want probability of picking an
odd number.
So: 4 odd out of 5 total → 4/5
✔ Answer:
4/5
*(Note: If the problem really meant 4 tiles, maybe one was left out — but since it lists 5 numbers, we use all 5.)*
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Problem 5: Mr. Jones has 6 children: Larry, Carla, John, Linda, Peter, Sally.
Boys: Larry, John, Peter →
3 boys
Girls: Carla, Linda, Sally →
3 girls
Total children: 6
→ Probability of selecting a boy = 3 ÷ 6 =
1/2
→ Probability of selecting a girl = 3 ÷ 6 =
1/2
✔ Answers:
Boy:
1/2
Girl:
1/2
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Problem 6: John and Jackie roll a die. John wins if he rolls higher than 4. Jackie wins if she rolls 4 or less. Is this game fair?
First, let’s see what each person needs:
John wins if he rolls
5 or 6 → that’s 2 outcomes
Jackie wins if she rolls
1, 2, 3, or 4 → that’s 4 outcomes
Total outcomes for each roll: 6
So:
- John’s chance to win: 2/6 = 1/3
- Jackie’s chance to win: 4/6 = 2/3
Since 1/3 ≠ 2/3, they do
not have equal chances.
✘ Not fair — Jackie has a better chance.
✔ Answer:
No, because Jackie has a 2/3 chance to win and John only has a 1/3 chance.
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Final Answer:
1. 1/6
2. 1/2
3. 3/7
4. 4/5
5. Boy: 1/2; Girl: 1/2
6. No, the game is not fair because Jackie has a higher chance of winning (2/3) than John (1/3).
Parent Tip: Review the logic above to help your child master the concept of 5th grade probability worksheet.
