3. A travel company offers the following holiday options.
Time
Accommodation
Transport
Summer or Winter
Cottage or Hotel
Train or Bus or Car
(a) List all the possible different combinations of holiday options that the company offers. One has been done for you. [3]
Time
Accommodation
Transport
Summer
Cottage
Train
(b) A holiday is chosen at random from all the different combinations on offer. P is the probability that the chosen holiday is a
Summer holiday, staying in a Cottage and travelling by Train.
Mark the point P on the probability scale shown below. [1]
Mark scheme (a)
Scheme
Marks
Comments
(Summer Cottage Train)
Summer
Cottage
Bus
Summer
Cottage
Car
Summer
Hotel
Train
Summer
Hotel
Bus
Summer
Hotel
Car
Winter
Cottage
Train
Winter
Cottage
Bus
Winter
Cottage
Car
Winter
Hotel
Train
Winter
Hotel
Bus
Winter
Hotel
Car
B3
For all other 11 different combinations. Ignore repeats. B2 for 8, 9 or 10 other different combinations. B1 for 5, 6 or 7 other different combinations.
The given combination (Summer Cottage Train) is shaded in the original.
Mark scheme (b)
Scheme
Marks
Comments
B1
P must be positioned strictly > 0 and < 0·25. C.A.O. Accept any indication for position of P.
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