MATH SOLVE

3 months ago

Q:
# You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not select a number which is divisible by 3?

Accepted Solution

A:

The probability of selecting a number not divisible by 3 is: 2/3Step-by-step explanation:There are two methods to solve the question.We can find the probability of numbers not divisible by 3We can find the probability of numbers divisible by 3 and then find the complement of itWe will use the second method:Given:There are 24 slipsS = {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) = 24Let A be the event that the slip number is divisible by 3ThenA = {3,6,9,12,15,18,21,24}n(A) = 8The 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: 2/3Keywords: ProbabilityLearn more about probability at:brainly.com/question/9045597brainly.com/question/9103248#LearnwithBrainly