Given an experiment in which a fair coin is tossed three times,the sample space is S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}.Event A is defined as tossing one head (H).What is the event A^C and what is the probability of this event? A)A^C = {TTT,HHH,HTH};P(A^C)= 0.375 B)A^C = {TTT,THH,HHH,HHT};P(A^C)= 0.500 C)A^C = {TTT,HHH,HHT,HTH,HTT};P(A^C)= 0.625 D)A^C = {TTT,HHT,HTH,THH,HHH};P(A^C)= 0.625

Question

Quizplus · Accepted Answer

Event A is defined as tossing exactly one head, which corresponds to {HTT, THT, TTH}. The complement A^C includes all outcomes except these, which are {TTT, HHT, HTH, THH, HHH}. The probability of A^C is the number of outcomes in A^C divided by the total number of outcomes, which is 5/8 = 0.625.

Given an Experiment in Which a Fair Coin Is Tossed