Let’s solve each problem step by step.
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Activity 1
1. Roll a number cube (die) — probability of rolling an even number?
A standard die has 6 sides: 1, 2, 3, 4, 5, 6.
Even numbers on a die: 2, 4, 6 → that’s 3 outcomes.
Total possible outcomes: 6
So, probability = favorable / total = 3/6 =
1/2
✔ Answer:
1/2
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2. Roll a number cube — probability of rolling a 9?
Die only goes up to 6. There is no 9.
Favorable outcomes: 0
Total outcomes: 6
Probability = 0/6 =
0
✔ Answer:
0
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3. From a standard deck of cards — probability of picking a diamond?
Standard deck = 52 cards.
Diamonds are one suit → 13 diamonds.
Probability = 13/52 =
1/4
✔ Answer:
1/4
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4. From a standard deck — probability of picking a non-diamond?
Non-diamonds = total cards - diamonds = 52 - 13 = 39
Probability = 39/52 =
3/4
(Or think: if P(diamond) = 1/4, then P(not diamond) = 1 - 1/4 = 3/4)
✔ Answer:
3/4
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5. Spinner with 4 sections: blue=1 and 4; yellow=2 and 3
Wait — looking at the spinner:
Sections:
- Top-left: blue, labeled “1”
- Top-right: yellow, labeled “2”
- Bottom-left: yellow, labeled “3”
- Bottom-right: blue, labeled “4”
So:
Blue sections: 1 and 4 → 2 out of 4
Yellow sections: 2 and 3 → 2 out of 4
P(blue) = 2/4 =
1/2
P(not blue) = same as P(yellow) = 2/4 =
1/2
✔ Answers:
P(blue) =
1/2
P(not blue) =
1/2
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Activity 2
Spinner has 8 equal sections, numbered 1 through 8.
Colors (from image description):
- Yellow: sections 2 and 3 → 2 sections
- Odd numbers: 1, 3, 5, 7 → 4 sections
- Numbers > 2: 3,4,5,6,7,8 → 6 sections
- Numbers < 9: all of them! Since max is 8 → 8 sections
But let’s go question by question.
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1. Probability wheel stops on yellow section?
From image: yellow sections are labeled 2 and 3 → 2 sections.
Total sections: 8
P(yellow) = 2/8 =
1/4
✔ Answer:
1/4
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2. Probability wheel stops on odd number (1,3,5,7)?
Odd numbers: 1, 3, 5, 7 → that’s 4 numbers.
Each number is in its own section → 4 sections.
P(odd) = 4/8 =
1/2
✔ Answer:
1/2
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3. Probability wheel stops on number greater than 2?
Numbers > 2: 3, 4, 5, 6, 7, 8 → that’s 6 numbers.
P(>2) = 6/8 =
3/4
✔ Answer:
3/4
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4. Probability wheel stops on number less than 9?
All numbers on spinner are 1 through 8 → all are less than 9.
So, 8 out of 8 sections.
P(<9) = 8/8 =
1
✔ Answer:
1
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Final Answer:
Activity 1:
1. 1/2
2. 0
3. 1/4
4. 3/4
5. P(blue) = 1/2 ; P(not blue) = 1/2
Activity 2:
1. 1/4
2. 1/2
3. 3/4
4. 1
Parent Tip: Review the logic above to help your child master the concept of probability worksheet pdf with solutions.
