Question

If S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} and A={HTH, HHT, THH} then {HHH, HTT, THT, TTH, TTT} is called :

• A. The intersection of S and A
• B. The union of S and A
• C. The complementary event to A
• D. The empty set

Answer 1

Answer:

C. The complementary event to A

Complementary Event -For every event A, there corresponds another event A′ called the complementary event to A. It is also called the event ‘not A S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} Let A={HTH, HHT, THH} be the event ‘only one tail appears’’. A′ = {HHH, HTT, THT, TTH, TTT} or A′ = {ω : ω ∈ S and ω ∉A} = S – A.