Funatic Maths

Written on
- Paper 1

Question 11

11.111.1 Events AA and BB are independent. P(A)=0,4P(A)=0,4 and P(B)=0,25P(B)=0,25.
11.1.1\quad 11.1.1 Represent the given information on a Venn diagram. Indicate on the Venn diagram the probabilities associated with each region. (3)(3)
11.1.2\quad 11.1.2 Determine P(A  or  NOT  B)P(A\; or\; NOT\; B). (2)(2)
11.211.2 Motors Incorporated manufacture cars with 55 different body styles, 44 different interior colours and 66 different exterior colours, as indicated in the table below.
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  • The interior colour of the car must NOT be the same as the exterior colour.
  • Motors Incorporated wants to display one of each possible variation of its car in their showroom. The showroom has a floor space of 500 m2500\, m^2 and each car requires a floor space of 5 m25\, m^2.
Is this display possible? Justify your answer with the necessary calculations. (6)(6)
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