While playing a board game, you roll two different colored standard dice. What is the probability of rolling a 5 on the black die and a number less than 4 on the red die?1 101 122 31 2

Answer:Answer is 1/12Step-by-step explanation:sample space of rolling a die is={1,2,3,4,5,6}A: rolling a 5 on the black dieA:{5}hence, P(A)=1/6B: rolling a number less than 4 on red dieB:{1,2,3}hence, P(B)=3/6A∩B: rolling a 5 on the black die and a number less than 4 on the red dieSince, both events are independent Hence, P(A∩B)=P(A)×P(B)                       =1/6×3/6                        =1/12hence, probability of rolling a 5 on the black die and a number less than 4 on the red die is 1/12