Can someone shine some light on this for me

[YellowSwap]

When you join miners together on a single pool do they work together or they work separately to solve block? If they work together why does one of the miners is the only one Identiy as the solver of that block?

If this the reason why some people prefer to have let's say 60TH in one go? Rather than 10TH, 20TH, 10TH, 30TH? It's a shame that I still don't understand how this works even though I am mining cryptocurrencies.

I can set everything up, connect them to pools and get them.mining to an address, but the calculation behind how they work is where I always get lost at times.

[Charles-Tim]

When you join miners together on a single pool do they work together or they work separately to solve block? If they work together why does one of the miners is the only one Identiy as the solver of that block?

They work together. One of the miners will mine a block, they will all share the reward according to the individual mining hash rates.

But there are solo mining pool that miners works individually, but in a way they can easily set up their miners to join the pool,  unlike going for solo mining. In this case, miners that mine the reward will take the mined coins and coins paid as transactions in the mined block. But the miner will pay small amount of coins to to the solo mining pool it joined.

I can set everything up, connect them to pools and get them.mining to an address, but the calculation behind how they work is where I always get lost at times.

There are many mining profitablity calculators online. Each mining pools have their own mining profitablity calculator also.

[FP91G]

When you join miners together on a single pool do they work together or they work separately to solve block? If they work together why does one of the miners is the only one Identiy as the solver of that block?

If this the reason why some people prefer to have let's say 60TH in one go? Rather than 10TH, 20TH, 10TH, 30TH? It's a shame that I still don't understand how this works even though I am mining cryptocurrencies.

I can set everything up, connect them to pools and get them.mining to an address, but the calculation behind how they work is where I always get lost at times.

Miners join together in a pool to find the correct hash more efficiently. The pool tasks each miner with searching only within their assigned range. This ensures that miners never perform the same calculations and waste electricity re-checking the same numbers. Only one miner finds the solution. If it's a solo pool, that miner receives the entire reward, but in some pools, the miner receives 50%, with the rest divided among all participants, or other options.
In regular pools, the reward is divided among all participants according to the payout structure: PPS, FPPS, PPLNS, PPS+.