2.The daily production from a car factory=3 different models-A,B,C which are in two different colours-R and S.

Question

Daily the factory produces 1600 model A cars,800 of model B and 600 of model C. Overall,40% of the cars are of colour R,60% of colour S.60% of of the model A cars are of colour R.
As a percentage of production,there are 3 times as many colour R cars of model B compared to that of model C.
(a)Show that 192 model B cars of colour R are produced daily.
(c)If a car is chosen at random,calculate the probability that it is a model C car in colour S.
(d)Two cars are selected at random from a day's production.Calculate the probability that:
(i)neither of the cars is a model C in colour S.
(ii)at least one car's a model C in colour S.
(iii)the two cars are both model C but of different colours.
(iv)the two cars have the same colour.

Answer 1

Based the information given there are:
960 A-R
640 A-S
192 B-R
608 B-S
48 C-R
552 C-S

so,
c) = 552/3000

di) = (1.-552/3000) * (1.-551/2999)

dii) = 1.-(di)

diii) = (552/3000) * (48/2999)

div) = 1. - ( (1200/3000)*(1800/2999))