The theoretical probability of selecting a multiple of 3 from the given numbers is 1/2 or 0.5.
To calculate the theoretical probability, we need to determine the number of favorable outcomes (multiples of 3) and the total number of possible outcomes.
Among the given numbers, the multiples of 3 are 3, 6. Therefore, there are three favorable outcomes.
The total number of possible outcomes is six since there are six numbers in total.
Thus, the simplified theoretical probability of selecting a multiple of 3 is 3/6, which simplifies to 1/2 or 0.5.
Theoretical probability represents the likelihood of an event occurring based on theoretical reasoning or mathematical calculations.
It is determined by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, there are three multiples of 3 out of a total of six numbers, resulting in a probability of 1/2 or 0.5.