if a die rolled 30 times, what is the expected value that a 5 will appear. Is 5, right?
Yes, since the die has six sides, each value will occur by chance 1/6 of the times.
To calculate the expected value, we need to use the probability of an event occurring and the value associated with that event. In this case, we have a fair six-sided die, and we want to know the expected value of a 5 appearing when rolling the die 30 times.
The probability of rolling a 5 on a fair six-sided die is 1/6. Therefore, when rolling the die once, the expected value of getting a 5 is (1/6) * 5 = 5/6.
To find the expected value after rolling the die 30 times, we can multiply the expected value for a single roll by the number of rolls. So, the expected value of getting a 5 in 30 rolls is (5/6) * 30 = 25.
Therefore, the expected value that a 5 will appear when rolling the die 30 times is 25, not 5.