A particular circuit design is tested for two attributes, call them A and B$.$ For each

$(6$pt$)$ attribute the these results in Pass $($i$.$e$.$ the circuit satisfies that attribute$)$ or Failure $($the

circuit does not satisfy that attribute$).$

Based on historic records

the probability that the circuit Fails attribute A is $\mathrm{.}06.$

the probability that the circuit Fails attribute B is $09.$

the probability that the circuit Fails both attribute A and attribute B is $\mathrm{.}04.$

a$.$ Determine the probability that a circuit Passes both attributes, A and B$.$

b$.$ Determine the probability that a circuit Passes one of the attributes, but Fails the

other.

c$.$ Given that a circuit Passes attribute A$,$ what is the probability that it Passes

attribute B$?$