Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
To find the probability that the chosen number is an even number, we first need to determine how many even numbers are in the given range, which is from 1 to 8.
An even number is an integer that is divisible by 2 without leaving a remainder. Therefore, the even numbers in this range are 2, 4, 6, and 8. So, there are 4 even numbers.
The total number of numbers is 8.
To find the probability (P) of choosing an even number, divide the number of favorable outcomes (number of even numbers) by the total number of possible outcomes (total number of numbers):
[tex]\sf P (Even\; number)= \dfrac{\textsf{Number of even numbers}}{\textsf{Total number of numbers}}\\\\\\ P (Even\; number)=\dfrac{4}{8} \\\\\\P (Even\; number)= \dfrac{1}{2}[/tex]
Therefore, the probability that the chosen number is an even number is 1/2.