Make a Truth Table | World Book - Free Printable

Let’s solve this step by step.

We are given two truth tables to fill in. Each table has two inputs (A and B) and one output question (C). We need to decide for each combination of “Yes” or “No” for A and B, whether the answer to C is “YES” or “NO”.

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First Table: Peanut Butter and Jelly Sandwich

Question C: *Can you make a peanut butter and jelly sandwich?*

Inputs:
- A: Do you have peanut butter?
- B: Do you have jelly?

To make a PB&J sandwich, you need BOTH peanut butter AND jelly. So if either is missing, you can’t make it.

Let’s go row by row:

1. A = Yes, B = Yes → You have both → Can make sandwich → YES
2. A = Yes, B = No → Missing jelly → Cannot make → NO
3. A = No, B = Yes → Missing peanut butter → Cannot make → NO
4. A = No, B = No → Missing both → Cannot make → NO

So column C for first table: YES, NO, NO, NO

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Second Table: Bike Ride

Question C: *Can you go for a bike ride?*

Inputs:
- A: Is your bicycle tire flat?
- B: Is it too rainy outside?

To go for a bike ride, you probably don’t want a flat tire AND you don’t want it to be raining too hard. So if EITHER condition is true (flat tire OR rain), you might not be able to ride.

But let’s think logically: The question is “Can you go?” — so we assume you CAN only if NEITHER problem exists.

That means:
- If tire is flat → can’t ride → NO
- If it’s too rainy → can’t ride → NO
- Only if tire is NOT flat AND it’s NOT too rainy → YES

So:

1. A = Yes (tire flat), B = Yes (rainy) → Can’t ride → NO
2. A = Yes (flat), B = No (not rainy) → Still can’t ride because of flat tire → NO
3. A = No (not flat), B = Yes (rainy) → Can’t ride because of rain → NO
4. A = No (not flat), B = No (not rainy) → Perfect! → YES

So column C for second table: NO, NO, NO, YES

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✔ Final Answers:

First table, column C:
Row 1: YES
Row 2: NO
Row 3: NO
Row 4: NO

Second table, column C:
Row 1: NO
Row 2: NO
Row 3: NO
Row 4: YES

Final Answer:
First table C column: YES, NO, NO, NO
Second table C column: NO, NO, NO, YES