Statements: (1) Some intelligent people are happy. (2) Some intelligent people are rich. Inference: Some rich people are happy. The inference

The inference "Some rich people are happy" cannot be drawn.

Both premises are particular affirmatives sharing the term "intelligent people."

In each premise this shared middle term stays undistributed.

A valid syllogism requires the middle term distributed at least once.

With the middle undistributed, the happy and rich groups need not overlap.

No conclusion connecting rich and happy is therefore warranted.