High School

A local meteorologist announces to the town that there is a 93% chance it will be cloudy that afternoon. What are the odds it will not be cloudy that afternoon?

Select the correct answer below:
A. 7:100
B. 100:93
C. 93:7
D. 7:93

Answer :

Final answer:

The odds that it will not be cloudy when the forecast predicts a 93% chance of cloudiness are 7:93, representing the relative likelihood of it not being cloudy against it being cloudy. Therefore, the correct answer is D. 7:93.

Explanation:

The question posed relates to the interpretation of probabilities and odds. If a local meteorologist announces that there is a 93% chance it will be cloudy that afternoon, we want to find the odds that it will not be cloudy. Odds are typically given as a ratio of the probability of the event happening to the probability of it not happening. Since the probability it will be cloudy is 93%, the probability it will not be cloudy is 100% - 93% = 7%. The odds of it not being cloudy, then, are 7% (chance it will not be cloudy) to 93% (chance it will be cloudy), which simplifies to 7:93. Therefore, the correct answer is D. 7:93.