Probability - Free Printable

Let me work through each probability problem step by step.

Problem 1: What is the probability of pulling a black marble out of the bag?

First, I need to count all the marbles in the first bag:
- Looking at the first bag, I can see:
- Black marbles: 4
- White marbles: 4
- Striped marbles: 2

Total marbles = 4 + 4 + 2 = 10 marbles

Probability of pulling a black marble = Number of black marbles / Total marbles
= 4/10
= 2/5 (simplified)

Problem 2: What is the probability of pulling a white marble out of the bag?

Counting marbles in the second bag:
- Black marbles: 1
- White marbles: 3
- Striped marbles: 2

Total marbles = 1 + 3 + 2 = 6 marbles

Probability of pulling a white marble = Number of white marbles / Total marbles
= 3/6
= 1/2 (simplified)

Problem 3: What is the probability of pulling a black and white marble out of the bag?

This question asks about pulling BOTH a black AND a white marble. This means we're looking for the probability of getting one black marble AND one white marble when drawing from the bag.

Let me count the marbles in the third bag:
- Black marbles: 3
- White marbles: 4
- Striped marbles: 3

Total marbles = 3 + 4 + 3 = 10 marbles

However, I need to reconsider this question. "Pulling a black and white marble" could mean:
1. Pulling two marbles - one black and one white
2. Or it might be asking about striped marbles (which have both black and white colors)

Looking at the context and the pattern of questions, I believe this is asking about pulling TWO marbles - specifically one black marble AND one white marble together.

If we're drawing 2 marbles from 10 total marbles:
- Probability of first marble being black = 3/10
- After removing one black marble, we have 9 marbles left with 4 white marbles
- Probability of second marble being white = 4/9

But wait, we could also draw white first, then black:
- Probability of first marble being white = 4/10
- After removing one white marble, we have 9 marbles left with 3 black marbles
- Probability of second marble being black = 3/9

Total probability = (3/10 × 4/9) + (4/10 × 3/9)
= 12/90 + 12/90
= 24/90
= 4/15

Actually, let me reconsider. Given this is an elementary worksheet, the question might be simpler. Let me check if "black and white marble" refers to the striped marbles that have both colors on them.

In the third bag, there are 3 striped marbles (which show both black and white patterns).

If that's the interpretation:
Probability = 3/10

Given the level of this worksheet and the phrasing, I believe the answer is 3/10 (referring to the striped marbles that have both black and white on them).

Problem 4: How likely are you to grab a red marble?

Looking at the jar with red and blue marbles:
- Red marbles: 5
- Blue marbles: 2
- Total: 7 marbles

Since there are more red marbles (5) than blue marbles (2), you are MORE LIKELY to grab a red marble.

Problem 5: How likely are you to grab a green marble?

Looking at the jar with purple and green marbles:
- Purple marbles: 8
- Green marbles: 2
- Total: 10 marbles

Since there are fewer green marbles (2) compared to purple marbles (8), you are LESS LIKELY to grab a green marble.

Final Answer:
1. 4/10 or 2/5
2. 3/6 or 1/2
3. 3/10
4. More likely
5. Less likely