| Exam Board | OCR MEI |
|---|---|
| Module | D1 (Decision Mathematics 1) |
| Year | 2012 |
| Session | January |
| Marks | 16 |
| Paper | Download PDF ↗ |
| Topic | Combinations & Selection |
| Type | Implementing simple random or systematic sampling |
| Difficulty | Easy -1.8 This is a straightforward simulation exercise requiring only basic understanding of random number allocation and frequency counting. No probability theory, combinatorics calculations, or mathematical reasoning is needed—students simply follow mechanical instructions to assign digits to people and tally results. This is far below typical A-level maths problem-solving. |
| Spec | 5.01a Permutations and combinations: evaluate probabilities |
5 Five gifts are to be distributed among five people, A, B, C, D and E. The gifts are labelled from 1 to 5. Each gift is allocated randomly to one of the five people. A person can receive more than one gift.\\
(i) Use one-digit random numbers to simulate this process. One-digit random numbers are provided in your answer book.
Explain how your simulation works.
Produce a table, showing how many gifts each person receives.\\
(ii) Carry out four more simulations showing, in each case, how many gifts each person receives.\\
(iii) Use your simulation to estimate the probabilities of a person receiving $0,1,2,3,4$ and 5 gifts.\\
(iv) Describe what you would have to do differently if there were six people and six gifts.
\hfill \mbox{\textit{OCR MEI D1 2012 Q5 [16]}}