Let’s go step by step to solve each question.
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Question 1: What is the probability of pulling a black marble out of the bag?
First, count how many marbles are in the first bag.
Looking at the drawing:
- Black marbles (solid black circles): Let’s count them → there are
4
- White marbles (empty circles): There are
3
- Striped marbles (with stripes): There are
2
Total marbles = 4 + 3 + 2 =
9
We want the probability of pulling a
black marble.
Probability = (number of black marbles) / (total marbles) = 4/9
✔ So, answer for #1 is
4/9
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Question 2: What is the probability of pulling a white marble out of the bag?
Look at the second bag:
Count the marbles:
- Black marbles:
2
- White marbles:
3
- Striped marbles:
2
Total = 2 + 3 + 2 =
7
White marbles = 3
Probability = 3/7
✔ Answer for #2 is
3/7
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Question 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” probably means pulling
one marble that is both black and white, like striped? Or does it mean pulling two marbles — one black and one white?
But looking at the context — all other questions are about pulling
one marble from the bag. Also, the third bag has striped marbles which might be considered “black and white”.
In the third bag:
Marbles:
- Solid black: let’s count →
3
- Solid white:
3
- Striped (black and white pattern):
3
Total = 3 + 3 + 3 =
9
If “black and white marble” means the
striped ones, then we have 3 such marbles.
So probability = 3/9 =
1/3
Alternatively, if they meant pulling
two marbles — one black and one white — that would be more complex and not matching the style of the other questions. Since the directions say “pulling a ... marble” (singular), it’s safe to assume they mean a single marble that is black-and-white (i.e., striped).
✔ So, answer for #3 is
1/3
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Now the last two parts with jars:
How likely are you to grab a red circle?
Jar 1: Blue lid, contains:
- Red marbles: let’s count →
5
- Blue marbles:
3
Total = 8
Red marbles = 5 → more than half → so
More likely
✔ Answer:
More likely
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How likely are you to grab a green circle?
Jar 2: Blue lid, contains:
- Purple marbles: let’s count →
10
- Green marbles:
3
Total = 13
Green marbles = 3 → much less than half → so
Less likely
✔ Answer:
Less likely
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Final Answer:
1. 4/9
2. 3/7
3. 1/3
Red circle: More likely
Green circle: Less likely
Parent Tip: Review the logic above to help your child master the concept of 4th grade probability worksheet.
