Question

if two events, a and b, never occur at the same time they are ______. (1 point)
○ compound
○ simple
○ disjoint
○ complementary

Explanation:

• Compound events: involve combinations of simple events, not about non - simultaneous occurrence.
• Simple events: are basic single - outcome events, not related to the non - overlapping property described.
• Disjoint events (mutually exclusive): By definition, two events \(A\) and \(B\) are disjoint if \(A\cap B=\varnothing\), meaning they cannot occur at the same time.
• Complementary events: \(A\) and \(B\) are complementary if \(B = A^{c}\) (the complement of \(A\)), which is a different relationship than non - simultaneous occurrence (though complementary events are also disjoint, the key defining property here is the non - overlap for disjoint).

Answer:

disjoint