P (number 2 )
1/6
2/6
4/6
3/6
The answer is 2/6 or simplified, 1/3.
explain
The denominator of the fraction 2/6 represents the total space or all the possible outcomes. In this case, there are six possible outcomes since we are working with a standard dice that has six sides numbered 1 to 6. The numerator of the fraction, which is 2, represents the number of favorable outcomes, which is rolling the number 2 on the dice. Thus, the probability of rolling the number 2 is 2/6 or 1/3, which represents the chance of rolling a 2 out of all the possible outcomes.
It seems like you are referring to a probability distribution for the number 2.
A probability distribution represents the likelihood of different outcomes occurring. In this case, the outcomes are the possible values for the number 2.
Given the values you provided (1/6, 2/6, 4/6, 3/6), it appears that these represent the probabilities assigned to each possible outcome. Now, to form a proper probability distribution, the probabilities should add up to 1. Let's check if they do:
1/6 + 2/6 + 4/6 + 3/6 = 10/6
Since 10/6 is not equal to 1, this is not a valid probability distribution. In order to have a valid probability distribution, the probabilities for each outcome should add up to 1.