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# Teams $$P$$ and $$Q$$ are involved in a game of football. What is the probabilit...

### 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) $$\frac{1}{4}$$

The correct answer is C.

### Explanation:

In a football game, one team either wins or there is a tie. This means there are three possible outcomes: a win, a loss or a draw. Therefore, the probability of a draw is $$\frac{1}{3}$$.

## Discussion (4)

• In a football game, one team either wins or there is a tie. This means there are three possible outcomes: a win, a loss or a draw. Therefore, the probability of a draw is $$\frac{1}{3}$$.

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

Reply
• $$P$$ (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) $$= \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$$

Reply
1. Emmanuel

Wrong

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