1MA0 Higher June 2016 Paper 1 Q6
6 One of the teachers at a school is chosen at random.
The probability that this teacher is female is \(\dfrac{3}{5}\)
There are 36 male teachers at the school.
Work out the total number of teachers at the school. (3)
| Answer | Mark | Notes |
|---|---|---|
| 90 | 3 | M1 for \(1 - \dfrac{3}{5}\) (= \(\dfrac{2}{5}\) or 40%) oe M1 for a complete method to find the number of female teachers (54) eg \(36 \div 2 \times 3\) or determines \(\dfrac{3}{5}\) (60%) is 54, or 10% is 9 A1 cao OR M1 for F : M = 3 : 2 M1 for a complete method to find the number of female teachers (54) eg \(\dfrac{3}{2} \times 36\) oe A1 cao |