1MA0 Higher June 2016 Paper 2 Q5
5 There are only blue counters, green counters, red counters and yellow counters in a bag.
Olga is going to take at random a counter from the bag.
The table shows the probability that Olga will take a blue counter and the probability that she will take a yellow counter.
| Colour | blue | green | red | yellow |
|---|---|---|---|---|
| Probability | 0.4 | 0.15 |
The number of red counters in the bag is 4 times the number of green counters in the bag.
Complete the table. (3)
| Answer | Mark | Notes |
|---|---|---|
| 0.09, 0.36 | 3 | M1 for \(1 - 0.4 - 0.15\) oe (= 0.45) or \(100 - 100 \times 0.4 - 100 \times 0.15\) (= 45) M1 for \((1 - 0.4 - 0.15) \div 5\) (= 0.09) or \((100 - 100 \times 0.4 - 100 \times 0.15) \div 5\) (= 9) A1 for 0.09 and 0.36 oe OR M1 for \(0.4 + 0.15 + x + 4x = 1\) M1 for \(x = (1 - 0.4 - 0.15) \div 5\) A1 for 0.09 and 0.36 oe [SC: B1 for 0.162 and 0.648 if M0 scored] |