This phrase is casual and often used in informal conversation rather than formal writing. Going by car or by bike? Honestly, it's six of one and half a dozen of the other to me.
Pro Tip 2/3
No Preference
Use the phrase to express a lack of preference between two equally good/bad options. As for vacation spots, it's six of one and half a dozen of the other because I'll enjoy either place.
Pro Tip 3/3
Decision-Making
Helpful when describing a situation where making a choice is unnecessary due to the options' similarity. For Henry, choosing between vanilla and chocolate ice cream is six of one and half a dozen of the other.