Assume that two given statements p and q are both true and indicate whether or not you would expect each of the following statements to be true :
`p ^^ q`

Answer

To determine whether the statement \( p \land q \) (read as "p and q") is true given that both statements \( p \) and \( q \) are true, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Statements**:
We have two statements: \( p \) and \( q \). According to the problem, both statements are true.
- \( p = \text{True} \)
- \( q = \text{True} \)

2. **Understand the Logical Operation**:
The operation \( p \land q \) represents the logical conjunction, which means "p and q". The conjunction is true if and only if both \( p \) and \( q \) are true.

3. **Evaluate the Conjunction**:
Since both \( p \) and \( q \) are true, we can evaluate \( p \land q \):
- \( p \land q = \text{True} \land \text{True} \)

4. **Determine the Result**:
The result of \( \text{True} \land \text{True} \) is:
- \( p \land q = \text{True} \)

5. **Conclusion**:
Therefore, we conclude that the statement \( p \land q \) is true.

### Final Answer:
The statement \( p \land q \) is true.

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