Hi!
<h3>The probability that it will not rain is 70%.</h3>
<h3><u>Probability:</u></h3>
the chance that an event of some sort will happen.
(It is typically measured out of 100%.)
In the given problem, we want to figure out the probability that it will not rain.
So far we know that there is a 30% chance that it will not rain.
Let's think about all the different things that could happen.
- It does rain
- It does not rain
There are no other things that could happen, other than it raining or not, because there is no in-between, so those are the only things we have to worry about.
<h3>What we know:</h3>
There is a 30% chance that it WILL rain.
<h3>What we want to find out:</h3>
The probability (the chance) that it will NOT rain.
Remember how I mentioned that probability is measured out of 100%? We can use this info.
Let's set up an algebraic equation:
We will use x to represent the probability that it will not rain.
We know that the probability that it will not rain is 30%.
We also know that the probability it WILL rain and the probability that it will NOT rain should add up to 100%.
<h3>The equation:</h3>
x + 30 = 100
Using algebra, we now simply have to subtract both sides by 30, so we figure out the value of x.
x + 30 - 30 = 100 - 30
Simplifying this, we get:
x = 70
Now, we can plug it back into our original equation to check our work:
70% + 30% = 100%?
100% = 100%
100% does in fact equal 100%, so we are correct.
<h3>
The probability that it will NOT rain is 70%.</h3>
For another probability question, see:
brainly.com/question/13038567