Say you throw a single fair die, what is the probability you get a 6 on your roll?
Now say your throw the same die ten times recording the result of each roll. What is the probability that you will have at least one 6 recorded on your sheet of paper?
If that six is say a great work of art, people will usually not care about all the other 1-5s you accumulated in the search for your six.
If however someone is grading you on both your positive and negative outliers, perhaps a game where your score is equal to the average of all dice throws, you won’t be better off with a set of a 100 die throws than with a set of just one die roll. Indeed if you had a tournament with that game, all the champions (and all the worst losers) would be people who threw the die just once, because 100 dice rolls with an average result of 6 are far more improbable than a set of one die roll with an average result of 6.
I don’t understand this, could you explain, please?
Say you throw a single fair die, what is the probability you get a 6 on your roll?
Now say your throw the same die ten times recording the result of each roll. What is the probability that you will have at least one 6 recorded on your sheet of paper?
If that six is say a great work of art, people will usually not care about all the other 1-5s you accumulated in the search for your six.
If however someone is grading you on both your positive and negative outliers, perhaps a game where your score is equal to the average of all dice throws, you won’t be better off with a set of a 100 die throws than with a set of just one die roll. Indeed if you had a tournament with that game, all the champions (and all the worst losers) would be people who threw the die just once, because 100 dice rolls with an average result of 6 are far more improbable than a set of one die roll with an average result of 6.