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September 30, 2014

September 30, 2014

Posted by **Anonymous** on Sunday, May 18, 2008 at 9:16am.

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.

- probability -
**economyst**, Monday, May 19, 2008 at 10:26amBased 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))

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