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How would you calculate the probability you'll have experienced a rainy day at some point in the last seven days if there's been a 10 percent chance of rain each day?
Wiki User
∙ 10y ago
Rainy days are not independent events, but for theis question you will need to assume that they are. Otherwise, there is insufficient information to answer.
Prob(a day being rainy) = 0.1
so Prob(a day being not rainy) = 1 - Prob(a day being rainy) = 1 - 0.1 = 0.9
Therefore, Prob(7 days being no rainy) = (0.9)7
and so, Prob(At least one rainy day in 7) = 1 - Prob(no rainy days in 7)
= 1 - (0.9)7 = 0.5217 (approx).
Wiki User
∙ 10y ago
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