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4. [6 points] Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feelthe same way. However, Milhouse remains hopeful, since on any given day independently

there is a 5%chance that Lisa smiles at him. (Assume a month has 30 days for this problem.) What is the probability that Milhouse goes longer than a month without a smile from Lisa?

Fig: 1

Fig: 2