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The odds of contracting the illness during one’s lifetime are 3 to 1.
Solución
To determine the odds of contracting the illness given a risk (probability) of 0.75, follow these steps:
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Understand the Definitions:
- Risk (Probability): The likelihood of an event occurring. Here,
. - Odds: The ratio of the probability that the event will occur to the probability that it will not.
- Risk (Probability): The likelihood of an event occurring. Here,
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Calculate the Odds:So, the odds are 3 to 1.
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Match with the Given Options:
- (1) 0.25 to 1
- (2) 0.333 to 1
- (3) 0.75 to 1
- (4) 3 to 1
Answer: 3 to 1
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Simplifique esta solución Extra Insights
If the risk of contracting an illness is 0.75, that means there is a 75% chance of getting the illness over a lifetime. The remaining 25% indicates the chance of not contracting it. To convert this risk into odds, you take the probability of the event happening (0.75) and divide it by the probability of it not happening (0.25), giving you odds of 3 to 1. So, for every 3 times you may get the illness, there is 1 time you won’t—definitely some significant odds at play!
When it comes to understanding risks and odds, visualizing them can truly help! Think of it like flipping a coin: if the chance of heads is 75%, then getting tails only happens 25% of the time. So next time you ponder risks, remember: from 4 flips, you’re practically guaranteed to see 3 heads on average. Fun, right?
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