[raincole]

P value means "if the null hypothesis were true, the probability we would have observed what we actually observed."

It's definitely not the strength of correlation. It's not even the probability that the opposite of the null hypothesis is false!

[cluckindan]

That’s what it means in the literal sense. As a more practical interpretation, p value is the ”probability that the observed result was due to random chance instead of the suggested hypothesis”

[drgo]

.. and only if myriad of other assumptions (many are unstated) hold.