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Abstract. In the article, an overall study involving a plane crash and the likelihood of having a safe flight is presented. The probability of dying in a plane crash and the probability of getting to the destination safely were calculated within the period 1970-2008. The formula for calculating the average length of a sequence of consecutive safe flights was determined. The probability of dying in a car accident and the probability of dying as a result of a plane crash were compared as a conclusion.

The paper presents decentralized voting scheme for verified users while maintaining their anonymity. A blockchain network was applied, which is a decentralized and distributed database based on the Peer-to-Peer architecture. During the implementation, the Ethereum network was used. Thanks to this, it is possible to code the terms of the contract required to perform the transaction. Ethereum and the use of smart contracts were also discussed in paper. The implementation uses the blind signature protocol by David Chaum and encryption with the Rivest-Shamir-Adleman (RSA) algorithm. Presented in this paper scheme for blockchain decentralized voting for verified users with focus on anonymity is then fully implemented and identified potential issues are analysed and discussed.

Thanks to the Internet, consumers can easily obtain basic information about a very large number of offers at very little cost. This enables consumers to judge whether an offer of a unique valuable good (such as a flat or second-hand car) is potentially attractive, but more information (normally gained by observing an offer in real life) is needed to make a final decision.