To determine the probability of rolling a number less than 3 on a six-sided number cube, let's walk through the problem step-by-step.
Step 1: Identify the total number of possible outcomes.
A standard six-sided number cube (die) has six faces, numbered from 1 to 6. Each roll of the die results in one of these six possible outcomes.
Total possible outcomes = 6
Step 2: Identify the favorable outcomes.
We need to find the numbers on the cube that are less than 3. The numbers on the cube that meet this criterion are 1 and 2.
Favorable outcomes = 2 (since the numbers 1 and 2 are both less than 3)
Step 3: Calculate the probability.
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability = [tex]\(\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\)[/tex]
Substituting the values we have:
Probability = [tex]\(\frac{2}{6}\)[/tex]
Step 4: Simplify the fraction (if applicable).
In this case, the fraction [tex]\(\frac{2}{6}\)[/tex] simplifies to [tex]\(\frac{1}{3}\)[/tex].
However, the simplified fraction [tex]\(\frac{1}{3}\)[/tex] is not one of the given answer choices, so we present the fraction as provided in the problem:
Therefore, the probability of rolling a number less than 3 is:
[tex]\[ \boxed{\frac{2}{6}} \][/tex]
So, the correct answer is D. [tex]\(\frac{2}{6}\)[/tex].
