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.
Step-by-step explanation:
Firstly, we're going to assume that both predictions are correct, because, well, they're just predictions. Let's write them down:
Seattle Rain Chance
=
75
%
Tacoma Rain Chance
=
3
4
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
1
, which shouldn't change anything...
... but then convert it to
100
100
(because they both divide out into
1
)...
... and finally, by definition, to
100
%
:
1
=
100
100
=
100
%
Tacoma Rain Chance
=
Tacoma Rain Chance
⋅
1
Tacoma Rain Chance
⋅
1
=
Tacoma Rain Chance
⋅
100
%
Let's evaluate it:
Tacoma Rain Chance
=
3
4
⋅
100
%
=
300
4
%
=
75
%
Now let's compare it to the Seattle rain chance:
Seattle Rain Chance
=
75
%
Whew, they're equal!
Seattle Rain Chance
=
Tacoma Rain Chance
Therefore, with the assumption that both predictions are correct, it is equally likely to rain in either city.