Final answer:
The probability of getting a 6 on the uneven 6-sided die is 1/3.
Step-by-step explanation:
To find the probability of getting a 6 on an uneven 6-sided die, we need to first determine the probability of the other numbers appearing on the die. Let's assume that the probabilities of getting numbers 1-5 are all equal, and the expected value of the entire die is 4.
The expected value of a random variable is the sum of each possible value multiplied by its associated probability. In this case, we have 5 numbers (1-5) with equal probabilities, and the expected value is given as 4. Therefore, the sum of the probabilities of getting numbers 1-5 is 4.
Since there are 6 sides on the die in total, and the probabilities of getting numbers 1-5 sum up to 4, the probability of getting a 6 can be calculated as 1 - 4 (the sum of probabilities of getting numbers 1-5) = 2/6 or 1/3.