Match outcomes, pie chart and empirical probability

Match outcomes, pie chart and empirical probability

Secondary 2
12 marks
TGM Original Questions

A team recorded 24 results: 12 wins, 7 losses and 5 draws.

    1. Construct a frequency and pie-sector table.[3]
    2. Draw and label the pie chart.[3]
    3. Find the percentage of matches not lost, giving your answer to 3 significant figures.[1]
    4. Estimate the probability of winning the next match if performance is stable.[2]
  2. A junior team has win probability 0.46 and loss probability 0.31. Find its draw probability.[3]

Solution:

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Answer:(a)(i) W: 12 and \(180^\circ\), L: 7 and \(105^\circ\), D: 5 and \(75^\circ\) (ii) corresponding pie chart (iii) \(70.8\%\) (iv) \(\frac{1}{2}\) (b) \(0.23\).

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