Translate five burger events into probabilities

From past records, the purchases at a fast food outlet show that 63% of customers buy a burger. This figure is made up of 30% who buy a beef burger, 24% who buy a fish burger and 9% who buy a chicken burger. No one buys more than one burger. Find the probability that, in a random sample of 27 customers,

(i) at least 23 customers buy a burger,

(ii) less than 26 customers do not buy a fish burger,

(iii) more than 15 customers buy either a beef or a chicken burger,

(iv) no less than 8 customers do not buy a burger,

(v) exactly 4 customers buy a chicken burger given that fewer than 6 customers buy a chicken burger.