Answer:
The possible outcomes are {1,2,3,4,5,6}
Probability of rolling a 2 or less is 1/3
Explanation:
When rolling a six-sided number cube, the possible outcomes are rolling a
1, 2, 3, 4, 5, or a 6
We can write this as a sample set = {1,2,3,4,5,6}
Now, assuming that the cube is fair, meaning there is equal probability of rolling any number.
Now, since there are 6 possibilities, the probability of rolling any number is 1/6, so, Probability of
rolling a 1 + rolling a 2 + rolling a 3 + rolling a 4 + rolling a 5 + rolling a 6
= 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 = 1
So, This means that we are always going to roll one of these numbers (one side of the cube has to face upwards and so on)
Now, the probability of rolling a 2 or less will be the sum of rolling a 2 and rolling a 1 so,
Probability of rolling a 2 or less = probability of rolling a 2 + probability of rolling a 1 = 1/6 + 1/6 = 2/6 = 1/3
Hence it is 1/3