Higher November 2019 Paper 2 Q16
16 Marek has 9 cards.
There is a number on each card.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Marek takes at random two of the cards.
He works out the product of the numbers on the two cards.
Work out the probability that the product is an even number. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{52}{72}\) | P1 | for \(\dfrac{4}{9} \times \dfrac{3}{8}\ \left(\dfrac{12}{72}\right)\) or \(\dfrac{4}{9} \times \dfrac{5}{8}\) or \(\dfrac{5}{9} \times \dfrac{4}{8}\ \left(\dfrac{20}{72}\right)\) |
| P1 | for \(1 - \left(\dfrac{5}{9} \times \dfrac{4}{8}\right)\) or \(\dfrac{4}{9} \times \dfrac{3}{8} + \dfrac{4}{9} \times \dfrac{5}{8} + \dfrac{5}{9} \times \dfrac{4}{8}\) oe | |
| A1 | for \(\dfrac{52}{72}\), \(\dfrac{13}{18}\) oe | |
| SC B1 for answer of \(\dfrac{56}{81}\) (replacement) |
Additional guidance
Accept equivalent fractions, decimals (0.72…) or percentages (72.22…%)