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Computer Science · May / June 2017 · Paper 2 SL · Question 4

Not on the 2027 syllabusProbability tables, spreadsheet macros and model vs simulation came from the old modelling option; only one small algorithm part fits 2027.

IBCS

As printed in the paper

The question as text

4. A local sports league arranges a series of games between four teams over one year. Each team plays every other team 10 times. Using the number of games won and lost in previous years, a table of probabilities is calculated and held in an array PROB. The contents of PROB is represented by the following diagram. PROB 1 2 3 4 1 0.5 0 0.5 2 0.2 0.8 0.5 3 0.9 0.1 0.4 4 0.3 0.5 0.4 The content of PROB[2, 3] is 0.8 and indicates that the probability of team 2 winning against team 3 is 0.8. For the 10 games played between these two teams it is likely that team 2 will win 8 of them.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 4(a)[1]

  • 4(b)[2]

  • 4(c)[1]

  • 4(d)[3]

  • 4(e)[4]

  • 4(f)[4]

  • 4(g)[4]

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