A hospital store buys syringes from three suppliers…

A hospital store buys syringes from three suppliers. Supplier A provides $45\%$ of the syringes, supplier B provides $35\%$ and supplier C provides $20\%$. The shares of faulty syringes are $1\%$ for A, $2\%$ for B and $4\%$ for C. A syringe is chosen at random from the store. Find the probability that it is faulty, the probability that it came from B and is faulty, and the probability that it is not faulty. Give decimals to four places.