Target practice:Laura and Philip each fire one shot at a target. Laura has probability0.2

of hitting the target, and Philip has probability0.3

. The shots are independent. Round your answers to four decimal places, if necessary.

(a) Find the probability that both of them hit the target.

(b) Given that Laura hits the target, the probability is

0.1

that Philip's shot hits the target closer to the bull's-eye than Laura's. Find the probability that Laura hits the target and that Philip's shot is closer to the bull's-eye than Laura's shot is.