A weatherman in Seattle says there is a 75% chance of rain. A weatherman in Tacoma says that is a 3/4 chance of rain. In which city is it more likely to rain, or equally,or both not rain at all?
2 Answers
Assuming both predictions are correct, converting the number forms into the same form, we can see that it is equally likely to rain in either city.
Explanation:
Firstly, we're going to assume that both predictions are correct, because, well, they're just predictions. Let's write them down:
Now, we can see that both predictions are in different forms: one in the form of percentage, and the other in the form of a fraction. To compare, we could convert one of them... Let's convert the fraction into a percentage. But, how?
Well, what "percent" means is "per hundred". We could multiply the number by
... but then convert it to
... and finally, by definition, to
Let's evaluate it:
Now let's compare it to the Seattle rain chance:
Whew, they're equal!
Therefore, with the assumption that both predictions are correct, it is equally likely to rain in either city.
There is an equal chance of rain in both cities.
Explanation:
We need to change either the fraction into the percentage or vice versa.
Let's start by changing the percentage into the fraction.
Therefore there is an equal chance of rain in both cities.
