[Verse 1] Sarah flips a coin, what are the chances heads will show? One outcome wins from two that's possible, so fifty-fifty we know But when events get tangled up, we need some rules to guide Addition and multiplication, tools we can't divide [Chorus] Probability playground, where numbers dance and play Addition for "or" questions, multiplication for "and" they say Zero means impossible, one means certainty Between them lives reality, in probability [Verse 2] Two dice rolling on the table, snake eyes or a seven? For "or" we add the chances up, but watch for overlap heaven If outcomes share some common ground, subtract what counts twice through Mutually exclusive means no overlap for you [Chorus] Probability playground, where numbers dance and play Addition for "or" questions, multiplication for "and" they say Zero means impossible, one means certainty Between them lives reality, in probability [Verse 3] Independent events don't care what happened right before Like coin flips or fresh card draws from a brand new deck in store But dependent events remember, like drawing cards without replacement Conditional probability shifts with everyacement [Bridge] Given that it's raining, umbrellas crowd the street P of A given B, makes incomplete complete Bayes' theorem whispers secrets, updating what we knew Prior times likelihood divided by the view [Chorus] Probability playground, where numbers dance and play Addition for "or" questions, multiplication for "and" they say Zero means impossible, one means certainty Between them lives reality, in probability [Outro] From weather forecasts to market risk, these rules light up the path Master probability's language, unlock the hidden math
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