An experiment consists of three tosses of a two-sided coin with the possible outcomes heads (H) or tails (T) from each toss.The outcome space is:
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

We define event A as "no heads are observed" and event B as "no tails are observed." What is AUB?
A) { } (the empty set)
B) {HHH}
C) {TTT, HHH}
D) {TTT}

Question

An experiment consists of three tosses of a two-sided coin with the possible outcomes heads (H) or tails (T) from each toss.The outcome space is: ​
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
​
We define event A as "no heads are observed" and event B as "no tails are observed." What is AUB?
A) { } (the empty set)
B) {HHH}
C) {TTT, HHH}
D) {TTT}

Quizplus · Accepted Answer

AUB represents the union of events A and B. Event A is "no heads are observed," which corresponds to {TTT}. Event B is "no tails are observed," which corresponds to {HHH}. The union of these two events is {TTT, HHH}.

An Experiment Consists of Three Tosses of a Two-Sided Coin