Without getting too involved in sports, can you explain to us simply the differe

Question

Without getting too involved in sports, can you explain to us simply the difference between a random number generator and a weighted random number generator? Which type of generator is rolling a die, as in the example below?

Example

All sports generate numbers that are characteristically random. For instance, baseball and sucker sport games generate home runs, goals, sacks, passes, shots, hits, misses, errors, and many more. Let’s suppose that a batter holds the prospect to reach base, dice roll between 1, 2, 3, 4, 5, and 6 times is predicted as follow:

Roll that reach base one time. The sample space is S = {1, 2, 3, 4, 5, 6}.

We need to follow the probabilities.

P (roll a four)

n(s)=6

Let x be the event rolling 4.

X = {4}

n(x)=1

P (roll a four) = n(x)/n(s) = 1/6

Therefore, the probability of rolling a four is 1/6 or 0.1667.

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Explanation / Answer

A random number generator is generating a random number from a set of numbers each having an equal probability of outcome. Example if we roll a fair die, there is an equal probability of getting any of the 6 numbers on the dice throws. Therefore there is an equal probability of getting either a 1,2,3,4,5 or a 6.

The example above is a random number generator.

On the other hand, a weighted random number generator is a tool or a function which generates an output variable with unequal probabilities. Example could be that of an unfair die where the probability of occurence of faces 1 and 2 could be double to the probability of occurences of rest of the faces.

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