To add a new block to the chain, a miner has to finish what’s called a cryptographic proof-of-work problem. Such problems are impossible to solve without applying a ton of brute computing force, so if you have a solution in hand, it’s proof that you’ve done a certain quantity of computational work. The computational problem is different for every block in the chain, and it involves a particular kind of algorithm called a hash function.

Let’s say a hacker wanted to change a transaction that happened 60 minutes, or six blocks, ago—maybe to remove evidence that she had spent some bitcoins, so she could spend them again. Her first step would be to go in and change the record for that transaction. Then, because she had modified the block, she would have to solve a new proof-of-work problem—find a new nonce—and do all of that computational work, all over again. (Again, due to the unpredictable nature of hash functions, making the slightest change to the original block means starting the proof of work from scratch.) From there, she’d have to start building an alternative chain going forward, solving a new proof-of-work problem for each block until she caught up with the present.
Anyone who can run the mining program on the specially designed hardware can participate in mining. Over the years, many computer hardware manufacturers have designed specialized Bitcoin mining hardware that can process transactions and build blocks much more quickly and efficiently than regular computers, since the faster the hardware can guess at random, the higher its chances of solving the puzzle, therefore mining a block.
How hard are the puzzles involved in mining? Well, that depends on how much effort is being put into mining across the network. The difficulty of the mining can be adjusted, and is adjusted by the protocol every 2016 blocks, or roughly every 2 weeks. The difficulty adjusts itself with the aim of keeping the rate of block discovery constant. Thus if more computational power is employed in mining, then the difficulty will adjust upwards to make mining harder.  And if computational power is taken off of the network, the opposite happens. The difficulty adjusts downward to make mining easier.
This gives the pool members a more frequent, steady payout (this is called reducing your variance), but your payout(s) can be decreased by whatever fee the pool might charge. Solo mining will give you large, infrequent payouts and pooled mining will give you small, frequent payouts, but both add up to the same amount if you're using a zero fee pool in the long-term.
Regulatory Risk: Bitcoins are a rival to government currency and may be used for black market transactions, money laundering, illegal activities or tax evasion. As a result, governments may seek to regulate, restrict or ban the use and sale of bitcoins, and some already have. Others are coming up with various rules. For example, in 2015, the New York State Department of Financial Services finalized regulations that would require companies dealing with the buy, sell, transfer or storage of bitcoins to record the identity of customers, have a compliance officer and maintain capital reserves. The transactions worth $10,000 or more will have to be recorded and reported.
Bitcoin mining is a competitive endeavor. An "arms race" has been observed through the various hashing technologies that have been used to mine bitcoins: basic CPUs, high-end GPUs common in many gaming computers, FPGAs and ASICs all have been used, each reducing the profitability of the less-specialized technology. Bitcoin-specific ASICs are now the primary method of mining bitcoin and have surpassed GPU speed by as much as 300 fold. As bitcoins have become more difficult to mine, computer hardware manufacturing companies have seen an increase in sales of high-end ASIC products.[7]
Zhang walks up to a door between two shelves full of mining rigs, and we step through. “This is the hot side,” he tells me. We’re standing in an empty, brightly lit space that serves as the heat dump for the facility. The exhaust fans from all the mining machines on the other side are poking out through little holes in a metal wall, blasting hot air into the space, where it gets purged to the outside by another wall full of giant metal fans.
Another interesting way (literally) to earn bitcoins is by lending them out, and being repaid in the currency. Lending can take three forms – direct lending to someone you know; through a website which facilitates peer-to-peer transactions, pairing borrowers and lenders; or depositing bitcoins in a virtual bank that offers a certain interest rate for Bitcoin accounts. Some such sites are Bitbond, BitLendingClub and BTCjam. Obviously, you should do due diligence on any third-party site.

“These companies are using extraordinary amounts of electricity – typically thousands of times more electricity than an average residential customer would use,” a spokesperson for the New York State Department of Public Service told Wired. “The sheer amount of electricity being used is leading to higher costs for customers in small communities because of a limited supply of low-cost hydropower.”
Exchanges, however, are a different story. Perhaps the most notable Bitcoin exchange hack was the Tokyo-based MtGox hack in 2014, where 850,000 bitcoins with a value of over $350 million suddenly disappeared from the platform. This doesn’t mean that Bitcoin itself was hacked; it just means that the exchange platform was hacked. Imagine a bank in Iowa is robbed: the USD didn’t get robbed, the bank did.
To heighten financial privacy, a new bitcoin address can be generated for each transaction.[113] For example, hierarchical deterministic wallets generate pseudorandom "rolling addresses" for every transaction from a single seed, while only requiring a single passphrase to be remembered to recover all corresponding private keys.[114] Researchers at Stanford and Concordia universities have also shown that bitcoin exchanges and other entities can prove assets, liabilities, and solvency without revealing their addresses using zero-knowledge proofs.[115] "Bulletproofs," a version of Confidential Transactions proposed by Greg Maxwell, have been tested by Professor Dan Boneh of Stanford.[116] Other solutions such Merkelized Abstract Syntax Trees (MAST), pay-to-script-hash (P2SH) with MERKLE-BRANCH-VERIFY, and "Tail Call Execution Semantics", have also been proposed to support private smart contracts.

Hot wallets refer to Bitcoin wallets used on internet connected devices like phones, computers, or tablets. Because hot wallets run on internet connected devices there is always a risk of theft. Think of hot wallets like your wallet today. You shouldn’t store any significant amount of bitcoins in a hot wallet, just as you would not walk around with your savings account as cash.
Transactions are verified by network nodes through cryptography and recorded in a public distributed ledger called a blockchain. Bitcoin was invented by an unknown person or group of people using the name Satoshi Nakamoto[9] and released as open-source software in 2009.[10] Bitcoins are created as a reward for a process known as mining. They can be exchanged for other currencies,[11] products, and services. Research produced by the University of Cambridge estimates that in 2017, there were 2.9 to 5.8 million unique users using a cryptocurrency wallet, most of them using bitcoin.[12]