Question

A,B,C, and D are all answer choices

Answer 1

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