{"product_id":"9783842380387","title":"Probabilities of Counting Codes","description":"In many cases counters are used to count special events within an endless sequence of events. This paper discusses a specific calculation, related to the probability of a counter overrun if the special event occurs not in a predictable way but with a certain probability. Different counter codes are compared with each other. A probability formula is developed for special scenarios which are normally analyzed by state diagrams and which can be numerically solved by the related Markov chains. The target is to enable a non-numerical discussion of the topic. It is shown how formulas can be found based on the rules of the probability theory, and their correctness is verified by a comparison with Markov chains.","brand":"Bod - Books on Demand","offers":[{"title":"Default Title","offer_id":48528159178993,"sku":"9783842380387","price":26.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0674\/5433\/7265\/files\/9783842380387_p0.jpg?v=1786292593","url":"https:\/\/shop.barnesandnoble.com\/products\/9783842380387","provider":"Barnes \u0026 Noble","version":"1.0","type":"link"}