eli5 what is the difference between probability and probability density.

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I’ve read several posts and can’t put my finger on the exact difference. Is there an easier example someone could give me to grasp this concept.

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Anonymous 0 Comments

probability = coin flip or rolling dice
because coin will not land standing up, it will always be heads or tails
dice will stop rolling with one face up and has same chance of face down,
it will always be 1/# of faces

probability density = dart game where skill of person throwing dart matters

a pro dart thrower will be more likely to hit the bullseye than miss it
so the probability distribution is not flat, but peak at the bullseye and curve down to outer rings

and if you want to know probability of just hitting high scores
(probability of not throwing dart to outer rings)
you integrate the bullseye and inner rings of the probability distribution function

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