By allowing read operations to succeed even when only an insufficient number of replicas is accessible, the read availability can be significantly increased. This paper presents such a weak consistency approach for replicated data in a networking environment. A method for estimating the degree of correctness" of those modified read operations is proposed. For demonstration purposes, we illustrate the advantages of our approach by an example scenario and apply the method to the Majority Consensus Protocol. However, the approach is applicable to a large number of even more sophisticated protocols.