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Coordinated checkpointing is a method that minimises number of processes to checkpoint for an initiation. It may require blocking of processes, extra synchronisation messages or useless checkpoints. We propose a minimum process coordinated checkpointing algorithm where the number of useless checkpoints and blocking are reduced using a probabilistic approach that computes an interacting set of processes on checkpoint initiation. A process checkpoints if the probability that it will get a checkpoint request in current initiation is high. A few processes may be blocked but they can continue their normal computation and may send messages. We also modified methodology to maintain exact dependencies.