A particular drug is more likely to produce a bad side-effect if a patient has alcohol, barbiturates or both in his/her blood.One study of a hospital's clinic population - where everyone was taking the drug - found that:

25% of patients reacted badly if they had alcohol but no barbiturate,

50% reacted badly if they had barbiturate but no alcohol,

80% reacted badly if they had both, and 1% reacted badly if they had neither.

In this population, the probabilities of getting a person using these substances were as follows: P(Alcohol) = 0.30, P(Barbiturate) = 0.25 and P(both) = 0.05.

(a)For the clinic, find the probability of getting a person with alcohol but no barbiturate; i.e., Pr(A1B^c) = ?(b)What is the probability of a bad side-effect reaction for a patient chosen from the clinic at random?