Foundation June 2024 Paper 2 Q11
11 Majid has a spinner.
Majid is going to spin the arrow.
The arrow can land on 1 or on 2 or on 3
Majid says,
“The probability that the arrow will land on 2 is \(\dfrac{1}{3}\) because the spinner has three sections.”
Is Majid correct?
You must give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| No with reason | C1 | No with reason Acceptable reasons: (The sections are) not the same size or the angles are not the same (The arrow is) more likely to land on 1 or 3 than on 2 (The probability for) 2 should be \(\frac{1}{4}\) 2 has a \(90^\circ\) angle but 1 and 3 both have obtuse angles or \(135^\circ\) each 2 has a \(90^\circ\) angle but the others are bigger 2 has a smaller area (the sections have) different sizes/angles/areas (the spinner is) not split equally (the angle for) 2 would be 120 not 90 (The angle for) 2 would be 120 or all angles would be 120 (landing on) 2 is less than a third the chances for the other two are higher than (for) 2 Not acceptable: Yes with any reason given No it should be \(\dfrac{2}{3}\) (No because) 2 has a \(90^\circ\) angle the bigger the angle the more likely |