Joan, a widow, died intestate at the age of 85, leaving an estate of $1 million. She had four children, Sam, Sarah, Sal, and Steve. Sam, Sarah, and Sal survived Joan, while Steve had predeceased her. Sam had two children, Sarah had four children, Sal had no children and Steve left three surviving children, all of whom were alive at the time of Joan’s death.

Explain how Joan’s estate would be distributed (i) per capita; and (ii) per stirpes. Please provide diagrams and set forth how much of the $1 million each heir would receive under the respective distribution systems.