Nigerian Scholars » Past Questions » Mathematics » Joint Admissions and Matriculation Board (JAMB) Past Question

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Question

Teams \(P\) and \(Q\) are involved in a game of football. What is the probability that the game ends in a draw?

Options

A) \(\frac{2}{3}\)

B) \(\frac{1}{2}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{4}\)

Explanation:

The given answer is incorrect. There are three possibilities: a win, a loss or a draw. So, the possibility of a draw is \(frac{1}{3}\).

Explanation provided by Mathmath


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Discussion (2)

  • The given answer is incorrect. There are three possibilities: a win, a loss or a draw. So, the possibility of a draw is \(frac{1}{3}\).

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  • \(P\) (games end in draw)
    \(\Rightarrow\) Team \(P\) wins and \(Q\) wins
    \(P\) (\(P\) wins) \(= \frac{1}{2}\)
    \(P\) (\(Q\) wins) \(= \frac{1}{2}\)
    Therefore, \(P\) (games ends in draw) \(= \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}\)

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