4MA0 Higher June 2011 Paper 4 Q2
2 John throws a biased coin 120 times.
It shows heads 90 times.
(a) John throws the coin once more.
Work out an estimate for the probability that the coin shows tails. (2)
Work out an estimate for the probability that the coin shows tails. (2)
Carly throws the same coin 200 times.
(b) Work out an estimate for the number of times the coin shows tails. (2)
| Scheme | Marks |
|---|---|
| 120 − 90 (=30) | M1 |
| 30/120 oe | A1 |
| (2) |
Notes
M1: or 1 − 90/120
Apart from questions 5b, 8, 15d, 20b, 21b, 23, 24b (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply correct working.
| Scheme | Marks |
|---|---|
| “30/120” × 200 oe | M1 ft |
| 50 | A1 ft |
| (2) | |
| (Total 4 marks) |
Notes
M1 ft: or 200 − “90/120” × 200 (i.e. 200 − “heads”/120 × 200)
A1 ft: ft if final ans < 200