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use the given odds to determine the probability of the underlined event…

Question

use the given odds to determine the probability of the underlined event. odds against getting injured by falling down stairs: 2,360 to 1. the probability of getting injured by falling down stairs is
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall the formula for probability from odds

The formula to find the probability $P$ of an event when the odds against the event are $a$ to $b$ is $P=\frac{b}{a + b}$. Here, $a = 2360$ and $b=1$.

Step2: Calculate the probability

Substitute the values into the formula: $P=\frac{1}{2360 + 1}=\frac{1}{2361}$.

Answer:

$\frac{1}{2361}$