Question 893707
A) {{{P(G,G)=P(G)P(G)=0.98(0.98)=0.9604}}}
B) {{{P=P(G)P(B)+P(B)P(G)=(0.98)(0.02)+(0.02)(0.98)=0.0392}}}
C) This is the complement to both switches are bad.
{{{P(B,B)=(0.02)(0.02)=0.0004}}}
So then,
{{{P=1-0.0004=0.9996}}}
You could have also added the results from A and B.