The probability of selecting a number not divisible by 3 is: 2/3
Step-by-step explanation:
There are two methods to solve the question.
- We can find the probability of numbers not divisible by 3
- We can find the probability of numbers divisible by 3 and then find the complement of it
We will use the second method:
Given:
There are 24 slips
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}
n(S) = 24
Let A be the event that the slip number is divisible by 3
Then
A = {3,6,9,12,15,18,21,24}
n(A) = 8
The probability of number divisible by 3 is:
[tex]P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}[/tex]
The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.
The probability of selecting a number not divisible by 3 will be:
[tex]=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}[/tex]
The probability of selecting a number not divisible by 3 is: 2/3
Keywords: Probability
Learn more about probability at:
- brainly.com/question/9045597
- brainly.com/question/9103248
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