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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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The given answer is incorrect. There are three possibilities: a win, a loss or a draw. So, the possibility of a draw is \(frac{1}{3}\).
\(P\) (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) \(= \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}\)