Use tree diagram,
the required probability=(0.2)(0.6)(0.6)(0.6)(0.6)+(0.2)(0.6)(0.6)(0.4)(0.2)+(0.2)(0.6)(0.4)(0.2)(0.6)+(0.2)(0.6)(0.4)(0.8)(0.2)+(0.2)(0.4)(0.2)(0.6)(0.6)+(0.2)(0.4)(0.2)(0.4)(0.2)+(0.2)(0.4)(0.8)(0.2)(0.6)+(0.2)(0.4)(0.8)(0.8)(0.2)+(0.8)(0.2)(0.6)(0.6)(0.6)+(0.8)(0.2)(0.6)(0.4)(0.2)+(0.8)(0.2)(0.4)(0.2)(0.6)+(0.8)(0.2)(0.4)(0.8)(0.2)+(0.8)(0.8)(0.2)(0.6)(0.6)+(0.8)(0.8)(0.2)(0.4)(0.2)+(0.8)(0.8)(0.8)(0.2)(0.6)+(0.8)(0.8)(0.8)(0.8)(0.2)=0.32992