Discuss the validity of the following statement. if the statement is always true, explain why. if not, give a counterexample. if upper p left parenthesis upper e right parenthesis plus upper p left parenthesis upper f right parenthesis equals upper p left parenthesis upper e union upper f right parenthesis plus upper p left parenthesis upper e intersect upper f right parenthesis, then e and f are mutually exclusive events.

Assume that minutes is an int variable whose value is 0 or positive. write an expression whose value is "undercooked" or "soft-boiled" or "medium-boiled" or "hard-boiled" or "overcooked" based on the value of minutes. in particular: if the value of minutes is less than 2 the expression's value is "undercooked"; 2-4 would be a "soft-boiled", 5-7 would be "medium-boiled", 8-11 would be "hard-boiled" and 12 or more would be a "overcooked".