A drought is a period of abnormal dry weather that causes serious problems in the farming industry of CALABARZON. UPLB researchers used historical annual data to study the severity of droughts in Laguna (Journal of Hydrologic Engineering). The researchers showed that the distribution of x, the number of consecutive years that must be sampled until a dry (drought) year is observed, can be modeled using the formula 

P(x) =(0.7) x – 1 (0.3), x = 1, 2, 3, …

Find the probability that exactly 3 years must be sampled before a drought year occurs

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