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In general the base hand score has much more chips than mult, which means each point of mult usually has more effect than a point of chip.
For example:
A Straight Flush has a base score of 100 chips * 8 mult, (with some extra chips from the card values, but I'll ignore those right now.) 100*8 = 800 points. If you add 50 chips, you get 150*8 = 1,200. But if you add 50 mult, you get 100*58 = 5,800. So unless your build is extremely skewed towards mult already, adding mult is far more valuable than adding chips.
Ideally, for the highest total value (to my understanding), you'd want the Chips amount and the Mult amount to be as close to each other as possible in the end; [(20 x 20) > (21 x 19), etc.]
So, for starters, +1 Chip vs. +1 Mult are not 'equal' per se, but adding onto that, like Lawrance said, there are "Mult" multipliers (the bits that say 1.5xMult, or 2.5xMult, etc. as opposed to +4 Mult, +8 Mult), and those have the capacity to *greatly* increase your multiplier value (the right side of the equation), especially as you stack them on top of each other, multiplying the already multiplied value.
To my knowledge, there are no effects that directly multiply your 'Chips' amount (besides what you ultimately do in the end by multiplying Chips by your Mult), so sometimes it's more valuable to increase your base Mult value to get *more* value out of multiplying it later.
Thanks.
Are you aware of how multiplication works?
I'm not sure what you're getting at here.
Chips and Mult are indeed multiplied together to get your total scored amount, but this is exactly why Mult is more "powerful" due to the base chip count typically being higher than the base Mult amount, since if you are optimizing the product of two numbers that have a particular sum then you get the best result by having the two numbers close together. That is, if your chips are higher than your Mult, you benefit more from adding Mult, whereas if your Mult is higher than your chips you'd instead benefit more from adding Chips.
Having multipliers on your Mult does change things a bit, since they can sometimes result in your Mult being much, much higher than your Chips so at that point you'd benefit more from Chips again. Of course, you would need to be careful not to sacrifice base Mult too much for more chips, since that could result in the Mult multipliers no longer scaling your resulting Mult so high.
2 chips/20 mult, that's 40 chips. 2/21 would be 42 chips. 3/20 would be 60 chips
Saying multi is more powerful is wrong with multiplication.
Whichever side has less would see a bigger increase in size between just chips and multi if there is a choice to increase. It only takes one joker to swap this balance.
Multi is only more powerful because it can get x multi. Which is why multi ends up being more sought after long-term and is more powerful long-term, especially if you are going for some late-game high ante build. But those super builds are all about xMultis and triggering triggers anyway.
But in early rounds, before you get a lot of xMulti cards... if you have to evaluate your card order (for something like a Brainstorm) and or to decide if spending $3 on a cheap +chip or +multi is worth it, knowing how simple multiplication works can be the difference of saving a bunch of hands, netting more money on income and interest, or just beating a tough early boss to get a better setup going.
When I get scaling card that increase per hand, and a brainstorm, I'm constantly reordering them (usually) to make them less effective (putting the xMulti first, choosing which side of the equation boosts teh final more, etc), so I can play more hands, to scale their effectiveness later. I probably squeeze in like an extra 1-2 hands per blind early on by doing this. It can really help.
there are +chips cards, +multi cards AND x Multi cards - since they apply after multi, they are really powerful when properly used
God bless