Final answer:
The Boolean expression for the given scenario is P = C for the pavilion assembly if the weather is clear, and H = not C for the hall assembly if the weather is not clear.
Step-by-step explanation:
The scenario presented can be broken down into a logical statement involving Boolean algebra. The statement describes two conditions relating to the location of the assembly based on the weather:
- If the weather is clear, the assembly will be held in front of the pavilion.
- If the weather is not clear, the assembly will be held in the big hall.
The logical variables we can assign here are:
- C for clear weather
- P for the assembly being held in front of the pavilion
- H for the assembly being held in the big hall
The Boolean expression that represents this scenario can be derived as:
P = C
H = not C
This means that P (assembly in front of the pavilion) occurs if C (clear weather) is true, and H (assembly in the big hall) occurs if C is false, or equivalently, not C.