OCR MEI Paper 2 2018 June — Question 3 2 marks

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2018
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicProbability Definitions
TypeBasic probability calculation
DifficultyEasy -1.8 This is a very straightforward probability question requiring only basic understanding that P(not W) = 1 - 0.4 = 0.6, then squaring for two matches (0.36), and recognizing that draws exist in football so W and L aren't complementary events. No problem-solving or multi-step reasoning needed—pure recall and simple arithmetic.
Spec2.03a Mutually exclusive and independent events

3 The probability that Chipping FC win a league football match is \(\mathrm { P } ( W ) = 0.4\).
  1. Calculate the probability that Chipping FC fail to win each of their next two league football matches. The probability that Chipping FC lose a league football match is \(\mathrm { P } ( L ) = 0.3\).
  2. Explain why \(\mathrm { P } ( W ) + \mathrm { P } ( L ) \neq 1\).

Question 3(i):
AnswerMarks Guidance
AnswerMarks Guidance
\(0.36\)B1 (AO1.1)
[1]
Question 3(ii):
AnswerMarks Guidance
AnswerMarks Guidance
\(P(\text{draw})\neq 0\) oeB1 (AO2.4) Allow any comment which identifies that other outcomes are possible; e.g. winning and losing are not exhaustive
[1]
## Question 3(i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $0.36$ | B1 (AO1.1) | |
| **[1]** | | |

## Question 3(ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $P(\text{draw})\neq 0$ oe | B1 (AO2.4) | Allow any comment which identifies that other outcomes are possible; e.g. winning and losing are not exhaustive |
| **[1]** | | |

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3 The probability that Chipping FC win a league football match is $\mathrm { P } ( W ) = 0.4$.\\
(i) Calculate the probability that Chipping FC fail to win each of their next two league football matches.

The probability that Chipping FC lose a league football match is $\mathrm { P } ( L ) = 0.3$.\\
(ii) Explain why $\mathrm { P } ( W ) + \mathrm { P } ( L ) \neq 1$.

\hfill \mbox{\textit{OCR MEI Paper 2 2018 Q3 [2]}}