Respuesta :
Answer:
There is a 66.67% probability that the number is an even number or a number divisible by 3.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
These are the following even numbers from 1 through 30: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
There are 15 even numbers.
These are the following numbers divisible by 3 from 1 through 30:
3,6,9,12,15,18,21,24,27,30
We only count the odd numbers here, since we have already counted the even ones.
There are 5 odd numbers divisible by 3.
So there are 20 numbers that are even numbers or divisible by 3. So there are 20 desired outcomes.
Total outcomes:
There are 30 numbers from 1 through 30. So the number of total outcomes is 30.
Find the probability that the number is an even number or a number divisible by 3.
[tex]P = \frac{2}{3} = 0.6667[/tex]
There is a 66.67% probability that the number is an even number or a number divisible by 3.
