Let’s solve each problem step by step.
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Problem 1: What is the probability of pulling a black marble out of the bag?
First, count all marbles in the first bag:
- Black marbles: Let’s count — there are
4 black marbles.
- White marbles: There are
3 white marbles.
- Striped marbles: There are
2 striped marbles.
Total = 4 + 3 + 2 =
9 marbles
Probability of pulling a black marble = (number of black marbles) / (total marbles) =
4/9
✔ Final Answer for #1:
4/9
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Problem 2: What is the probability of pulling a white marble out of the bag?
Second bag:
- Black marbles:
1
- White marbles:
3
- Striped marbles:
3
Total = 1 + 3 + 3 =
7 marbles
Probability of pulling a white marble = 3 / 7
✔ Final Answer for #2:
3/7
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Problem 3: What is the probability of pulling a black and white marble out of the bag?
Wait — this wording is tricky. “Pulling a black and white marble” could mean:
- Pulling one marble that is both black AND white? → But no marble is both — they’re separate colors or striped.
- Or pulling two marbles: one black AND one white? → But the question doesn’t say “two marbles”.
Looking at the image again — it says “a black and white marble”. In context, since marbles are either black, white, or striped, and none are both black and white, this likely means:
→ “What is the probability of pulling a marble that is EITHER black OR white?”
That makes sense for elementary probability.
Third bag:
- Black marbles:
3
- White marbles:
4
- Striped marbles:
3
Total = 3 + 4 + 3 =
10 marbles
Black OR white = 3 + 4 =
7
So probability = 7 / 10
✔ Final Answer for #3:
7/10
*(Note: If the teacher meant something else like “pull two marbles”, the problem would specify. Since it says “a... marble”, singular, we assume it means one marble that is either black or white.)*
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Next part: Jars with colored balls
First jar:
- Red balls:
5
- Blue balls:
2
Total = 7 balls
Question: How likely are you to grab a red ball?
Red balls are more than blue → so
More likely
Second jar:
- Purple balls:
8
- Green balls:
2
Total = 10 balls
Question: How likely are you to grab a green ball?
Green balls are fewer → so
Less likely
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Final Answers:
1.
4/9
2.
3/7
3.
7/10
Jar 1 (red):
More likely
Jar 2 (green):
Less likely
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Final Answer:
1. 4/9
2. 3/7
3. 7/10
Red ball: More likely
Green ball: Less likely
Parent Tip: Review the logic above to help your child master the concept of worksheet on probability.
