Let’s solve each problem one by one, step by step.
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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 of those is a “2”.
So, chance = favorable outcomes / total 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 that the marble drawn at random 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: 7, 8, 9, 13. What is the probability of picking an odd number?
List the numbers: 7, 8, 9, 13
Odd numbers: 7, 9, 13 → that’s
3 odd numbers
Total numbers: 4
Probability = 3/4
✔ Answer:
3/4
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Problem 5:
> Mr. Jones has six children: Larry, Carla, John, Linda, Peter, Amy. He picks one child randomly to go with him.
First question: Probability he selects a boy.
Boys: Larry, John, Peter →
3 boys
Girls: Carla, Linda, Amy →
3 girls
Total children: 6
P(boy) = 3/6 =
1/2
Second question: P(girl) = 3/6 =
1/2
✔ Answers:
- Boy:
1/2
- Girl:
1/2
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Problem 6:
> John wins if he rolls higher than 4. Jackie wins if she rolls 4 or less. Is this game fair?
Die rolls: 1, 2, 3, 4, 5, 6
John wins on: 5, 6 →
2 outcomes
Jackie wins on: 1, 2, 3, 4 →
4 outcomes
Total outcomes: 6
P(John wins) = 2/6 = 1/3
P(Jackie wins) = 4/6 = 2/3
Since their chances are NOT equal, the game is
not fair.
✔ Answer:
No, it is not fair because Jackie has a higher chance of winning.
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Final Answer:
1. 1/6
2. 1/2
3. 3/7
4. 3/4
5. Boy: 1/2; Girl: 1/2
6. No, it is not fair — Jackie has a 2/3 chance to win, John only 1/3.
Parent Tip: Review the logic above to help your child master the concept of probability worksheets.
