Answer:
probability that the integer chosen is divisible by 3 is [tex]\frac{1}{3}[/tex].
Step-by-step explanation:
Given : An integer be chosen at random from the integers 1 to 30 inclusive.
To find : Find the probability that the integer chosen is divisible by 3.
Solution : We have integers 1 to 30.
We need to find probability that the integer is divisible by 2.
We know that multiple of 3 is divisible by 3
All multiple of 3 from 1 to 30 ( 3,6,9,12,15,18,21,24,27,30)
Total multiple of 3 from 1 to 30 = 10 .
Probability = [tex]\frac{Favourble\ outcome}{Total\ number\ of\ outcome}[/tex]
Probability = [tex]\frac{10}{30}[/tex]
Probability = [tex]\frac{1}{3}[/tex].
Therefore, probability that the integer chosen is divisible by 3 is [tex]\frac{1}{3}[/tex].
