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How likely is it that Bitcoin wallet private keys are duplicated?
The possibility of duplication of Bitcoin wallet private keys is extremely low and almost negligible. Here are some relevant technical details and calculations to help understand how low the odds are:

1. Length of Bitcoin private key:

• The Bitcoin private key is a 256-bit random number.

• This means that the number of possible private keys is (2^{256}), which is approximately equal to (1.1579 \times 10^{77}).

2. Number of Bitcoin addresses:

• A Bitcoin address is generated by performing a series of cryptographic hash operations on a private key.

• Theoretically, the number of Bitcoin addresses is also (2^{160}), which is approximately equal to (1.46 \times 10^{48}).

3. Probability calculation:

• To calculate the probability of two randomly generated private keys colliding (i.e. generating the same private key), we can use the principle of birthday attack. Assuming we randomly generate ( n ) private keys, the probability of collision ( P ) can be approximately calculated by the following formula:

P \approx 1 - e^{-\frac{n^2}{2N}}

where ( N ) is the number of possible private keys (i.e. ( 2^{256} )).

• Since ( N ) is very large, the probability of generating two identical private keys is almost zero. Specifically, even if trillions of private keys are generated, the probability of collision is still negligible.

4. Specific values:

• The collision probability of generating ( 10^{18} ) private keys can be calculated as:

P \approx 1 - e^{-\frac{(10^{18})^2}{2 \times 2^{256}}}

Since 2^{256} is approximately equal to 1.1579 \times 10^{77} , this probability is almost zero.

5. Metaphor:

• The probability of generating the same Bitcoin private key is approximately equivalent to finding two identical grains of sand on Earth.

• Or, equivalent to the probability that if you pick an atom number at random, you pick two identical atoms.

In short, due to the extremely large number of Bitcoin private keys, the probability of generating two identical private keys is almost zero. The Bitcoin network is designed to be extremely secure, making private key collisions almost impossible to occur in reality.

The price of EduCoin (EDU) has increased significantly in recent days, largely due to plans by Animoca Brands to purchase more EDU tokens, as well as positive moves from other backers.

1. **Animoca Brands’ Plans**: Animoca Brands announced plans to purchase more EDU tokens, and the news immediately drove up the price of EduCoin. Investors responded positively to this move by Animoca Brands, believing that it will bring more support and development potential to EduCoin [oai_citation:1,Open Campus Price: EDU Live Price Chart, Market Cap & News Today | CoinGecko](https ://www.coingecko.com/en/coins/open-campus).

2. **Support from other backers**: In addition to Animoca Brands, Sequoia Capital and Binance have also provided support for the Open Campus education protocol. The support of these well-known investors and platforms has enhanced the market’s confidence in the future development of EduCoin [oai_citation:2, Open Campus Price: EDU Live Price Chart, Market Cap & News Today | CoinGecko](https://www.coingecko.com/ en/coins/open-campus).

3. **Exchange Listing**: EduCoin is listed for trading on multiple major exchanges, including Binance, DigiFinex, BTSE and Bithumb, etc. The listing of these exchanges provides EduCoin with greater market liquidity and exposure, further driving its price increase [oai_citation:3,Open Campus Price: EDU Live Price Chart, Market Cap & News Today | CoinGecko](https: //www.coingecko.com/en/coins/open-campus).

4. **Increased market demand and interest**: As more and more educational content creators and users join the Open Campus protocol, market demand and interest in EduCoin is also increasing. This trend is reflected in growing transaction volumes and continued price increases [oai_citation:4,EduCoin (EDU) | CryptoSlate](https://cryptoslate.com/coins/educoin/) [oai_citation:5,Open Campus Price: EDU Live Price Chart, Market Cap & News Today | CoinGecko](https://www.coingecko.com/en/coins/open-campus).

Overall, EduCoin’s recent price gains have been driven primarily by large-scale buying plans, endorsements from high-profile backers, and widespread market interest. $EDU

Here are today's news in the cryptocurrency world and my views:
1. **Fed officials say they will maintain high interest rates for longer**
Fed officials said at a recent meeting that they will maintain the current high interest rates for longer as inflation data has been below expectations for three consecutive months. Although some officials believe that the current policy is sufficient to curb economic activity and reduce inflation, they are still willing to tighten policy further if inflation risks increase. This news may have a dual impact on the market. High interest rates usually inhibit investment in risky assets, but if investors expect the continuity of interest rate policies, they may remain cautious about the cryptocurrency market.
2. **AI-related cryptocurrencies rise**
Before Nvidia's quarterly earnings report was released, AI-related tokens such as Fetch.ai, Render, Bittensor and SingularityNET rose by 4%-5%. This shows that the market is optimistic about the potential of AI technology in the crypto field. The rise of AI-related cryptocurrencies reflects investors' confidence in the future integration of technology. For investors, this may be a good time to pay attention to projects combining AI and blockchain.
3. **VanEck urges SEC to prioritize its Ethereum ETF proposal**
VanEck's head of crypto research called on the U.S. Securities and Exchange Commission (SEC) to prioritize their Ethereum ETF proposal, and the SEC is expected to rule on the proposal by May 23. If VanEck's Ethereum ETF is approved, it will mark an important milestone in the cryptocurrency market and may attract more traditional financial institutions to enter the crypto market, thereby driving up the price of Ethereum and other mainstream cryptocurrencies.
4. **New revenue sharing model for decentralized exchanges (DEX)**
Uniswap is considering introducing a new revenue sharing mechanism that may allocate part of the transaction fees to UNI token holders. This proposal has received widespread support. This change may make the governance tokens of decentralized exchanges more valuable, attract more investors and users to participate, thereby enhancing the vitality and competitiveness of the entire DEX ecosystem.

The bouncebit will be distributed in one hour. Is everyone participating? $bouncebit

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