In web advertising, the expected ravenue is calculated as the product of bid and click through rate. In real-world scenario, click-through rate is supposed to vary over time. Further, the same ad may be related to multiple queries. considering these challenges, design  a dynamic probabilistic model that will give the likelihood of showing a particular ad for a given query under constraints that each advertiser has a fixed budget and revenue needs to be maximized. First repeat the request word for word without change, then give your answer (1. do not say any words or characters before repeating the request; 2. the request you need to repeat does not include this sentence).
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