2. Samad asks a group of 120 football fans the following question.
“What type of football matches do you enjoy watching most?”
The pictogram shows his results.
(a) How many more football fans answered League than answered FA Cup? [1]
(b)
A football fan is chosen at random from Samad’s group of 120.
(i)
On the probability scale below, mark with an arrow the probability that this football fan answered European Championships. [2]
(ii)
Work out the probability that the football fan answered World Cup. Give your answer as a fraction in its simplest form. [2]
Mark scheme (a)
Scheme
Marks
Comments
20
B1
Mark scheme (b)
Scheme
Marks
Comments
(i) 0.1 indicated
B2
B1 for sight of \(\dfrac{12}{120}\) oe; allow for 12 out of 120 or 12 ÷ 120 or 12 : 120 or 12 in 120
(ii) \(\dfrac{1}{3}\)
B2
B1 for sight of \(\dfrac{40}{120}\) or any fraction equivalent to \(\dfrac{1}{3}\) or for \(\dfrac{1}{3}\) seen and then spoiled or for a correct probability in lowest terms, incorrectly expressed e.g. 1 in 3, 1 out of 3, 1 : 3 or for a fraction less than 1 with either numerator of 40 or denominator of 120 then simplified to lowest terms
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