Problem

Use the given odds to determine the probability of the underlined event. odds against getting injured by falling off a ladder: 8,988 to 1 The probability of getting injured by falling off a ladder is $\square$ (Type an integer or a simplified fraction.)

Solution

Step 1 :The odds against getting injured by falling off a ladder are given as 8988 to 1. This means that for every 8989 attempts, we expect 1 attempt to result in injury and 8988 attempts to not result in injury.

Step 2 :The probability of an event is the ratio of the number of ways the event can occur to the total number of outcomes. So, the probability of getting injured by falling off a ladder is 1 out of 8989.

Step 3 :The fraction form of this probability is \( \frac{1}{8989} \).

Step 4 :Final Answer: The probability of getting injured by falling off a ladder is \( \boxed{\frac{1}{8989}} \).

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