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3 marksSolving Probability Problems using Diagrams

CSEC Additional Mathematics · 2014 · Paper 2 · Question 7(a)(i)

There are 60 students in the sixth form of a certain school. Mathematics is studied by 27 of them, Biology by 20 of them and 22 students study neither Mathematics nor Biology. If a student is selected at random,

what is the probability that the student is studying both Mathematics and Biology?

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Other parts of this question

  1. 7(a)(ii)Biology only?[2 marks]
  2. 7(b)(i)Copy and complete the sample space diagram below.[1 mark]
  3. 7(b)(ii)a)Find P (S > 9)[2 marks]
  4. 7(b)(ii)b)P (S≤4).[1 mark]
  5. 7(c)(iii)Find the values of a, b and c.[3 marks]
  6. 7(c)(i)Find the median and quartiles for the data given.[4 marks]
  7. 7(c)(ii)Construct a box-and-whisker plot to illustrate the data given and comment on the distribution of the data.[4 marks]

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