Suppose an experiment consists of rolling a fair, six-sided number cube. What is the expected value of evens?
To find the expected value of evens, we first need to determine the probability of rolling each even number on the six-sided number cube.
Since the number cube is fair, it has six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these numbers, the even numbers are 2, 4, and 6.
The probability of rolling a specific outcome is calculated by dividing the number of favorable outcomes (even numbers) by the total number of possible outcomes.
In this case, there are three favorable outcomes (2, 4, and 6) and six total outcomes. Therefore, the probability of rolling an even number is 3/6 = 1/2.
Now, to calculate the expected value, we multiply each even number by its respective probability and sum up the results.
Expected value = (2 * 1/2) + (4 * 1/2) + (6 * 1/2)
= 1 + 2 + 3
= 6
Therefore, the expected value of rolling evens is 6.