Given that the weather forecast is 40% chance of rain each of the next 3 days. What are the odds it will rain within the next 3 days?
2026-04-28 21:43:30.1777412610
Conditional Weather Probability
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Suppose $NR_{i}=$The Event of not raining in $i^{th}$ day. So we have to calculate $P[$Raining within next 3 days$]$=$1-P[$Not Raining in any of next 3 days$]$=$1-P[NR_{1},NR_{2},NR_{3}]=1-P[NR_{1}]P[NR_{2}]P[NR_{3}]=1-(1-\frac{40}{100})^{3}=1-(\frac{3}{5})^{3}=\frac{98}{125}$
The above was done assuming independence of occurence of rain in consecutive days