Further Mathematics · OCR H245 · Option S · Topic 5.01

Probability

Probability.

  • 1 sub-topic
  • Taught in Year 13
  • 15 practice questions
  • 1 animated lesson
Practice questions (15) Lessons Worksheets coming soon All OCR Further Mathematics topics

What the specification says

Every sub-topic OCR can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. 5.01a-bProbabilityY13

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Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 15 questions in this topic, free, no account needed.

Number theory

Not needed for Year 12Easy

Unordered selections · Year 13 · 1 mark

  1. In how many ways can 3 books be chosen from 7 different books?
    (1)

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  1. Order does not matter: 7C3{}^{7}C_{3}.BB: 35

Total1

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Number theory

Not needed for Year 12Medium

Counting arrangements · Year 13 · 5 marks

The letters of the word PARALLEL are arranged in a line.
  1. (a)
    Find the number of different arrangements.
    (2)
  2. (b)
    Find the number of arrangements in which all the vowels are next to each other.
    (3)

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Part (a)2 marks

  1. Divide by the factorials of the repeats (A×2L×3)(A\times 2 L\times 3).8!2!×3!\frac{8!}{2! \times 3!}
  2. 33603360

Part (b)3 marks

  1. Arrange the consonants and the block.treat the 3 vowels as one block: 6!3!\text{treat the 3 vowels as one block: } \frac{6!}{3!}=120{}= 120
  2. vowels within the block: 3!2!\text{vowels within the block: } \frac{3!}{2!}=3{}= 3
  3. 120×3=360120 \times 3 = 360

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