512,360 views
14 votes
14 votes
A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?

A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance

User NikosM
by
2.8k points

2 Answers

13 votes
13 votes
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.
User Manojlds
by
2.6k points
13 votes
13 votes
Answer: A. Seattle

Steps:
1/4 = 25%

Which is more 25% or 75%?
The answer is 75%
User Jannine
by
3.0k points