What is the expected number of rolls of a 6 sided die until you roll a 6?
If you then take the expectation of that probability ( in other words how many times you expect to roll the die before you get a 6) is 1/p where p is the probability of rolling a 6. The probability of rolling a 6 will always be 1/6 since the experiment is independent. So the expected number of rolls will be 1/1/6=6.
What is expected sum?
The expected value of the sum of several random variables is equal to the sum of their expectations, e.g., E[X+Y] = E[X]+ E[Y] . On the other hand, the expected value of the product of two random variables is not necessarily the product of the expected values.
What is the expected value of the sum of the rolls of two six sided dice?
If you’re rolling two standard 6 sided dice, their sum will be between 2 and 12, with an average of 7.
What is the expected value for a single roll of a 6-sided die?
3.5
When you roll a fair die you have an equal chance of getting each of the six numbers 1 to 6. The expected value of your die roll, however, is 3.5.
What is the expected number of rolls of a fair d6 6-sided dice until all 6 faces have appeared at least once?
14.7 rolls
The Expected Value 6/6 + 6/5 + 6/4 + 6/3 + 6/2 + 6/1 = 14.7 rolls. When I told my son that “you should expect to roll the die 14.7 times before all six faces appear,” he was unimpressed.
What is the expected number of times out of 60 rolls for a result of 3?
Hence, we may now calculate the expected number of successes (i.e. threes) according to the formula for the expectation of the binomial distribution. That is, So we see that the number of times we would expect the die to land with 3 up is indeed 10 out of 60.
What is the expected number of rolls of a fair d6 6 sided dice until all 6 faces have appeared at least once?
What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?
11.6\%
Probability of a sum of 12: 25/216 = 11.6\% Probability of a sum of 13: 21/216 = 9.7\% Probability of a sum of 14: 15/216 = 7.0\%