probability vs probability density

[Karina Kong 2H]

Could someone explain the difference between probability vs probability density? Thanks!

[Heba Mengesha 3D]

Probability density is a "density" function. While probability is a specific value. The probability density function for a given value of X represents the density of probability.

[christabellej 1F]

The probability density, symbolized by psi squared, is the probability that something will be found in a space divided by region volume. For example, if psi squared is 0, then there is a probability of 0 that the electron will be found in that space in that region's volume. Probability has no unit but probability density has units of volume^-1.

[DHavo_1E]

Could someone explain the difference between probability vs probability density? Thanks!

Hi,

How I see it is probability density telling whether or not it is likely to be in a specific region of a volume, and probability as how much likely. For example, at a point, the probability density could be 0.3pm^-3 (not as likely, as it is measured from a scale from 0 (not there) to 1 (certainly there). To find probability, you would multiply by the volume of the area (0.3 pm^-3) x (2pm^3) = 0.6 , 3 out of 5 chances of being there.
- similar example found in the textbook