Answer:
Empirical formula
0.34
0.33
0.33
A^c = event B or event C
Step-by-step explanation:
A = roommate A wins the game
P(A) = (Rock A and Scissors B) + (Scissors A and paper B) + (paper A and rock B)
P(A) = (0.36*0.53) + (0.32*0.25) + (0.32*0.22) = 0.3412
C = game ends in a tie :
P(C) = (RockA and rockB) + (ScissorsA and ScissorsB) + (ScissorsA and ScissorsB)
P(C) = (0.36*0.22) + (0.32*0.53) + (0.32*0.25) = 0.3288
P(B) = 1 - P(A) - P(C)
P(B) = 1 - 0.3412 - 0.3288
P(B) = 0.33
Complement of event A =event B or event C
