On a 3 day vacation to Seattle the local weather forecaster predicts a 60% chance of rain everyday.What is the probability that it will rain everyday of the vacation.(round to the nearest thousandth)
math, pre-statistics - Reiny, Sunday, February 8, 2009 at 10:49pm
Prob(rain 1stday)*prob(rain 2nd day)*prob(rain 3rd day)
= (.6)(.6)(.6) = .216
math, pre-statistics - drwls, Sunday, February 8, 2009 at 11:18pm
I do not believe you can apply statistics to weather in the manner described... Especially in Seattle, where rainy periods come in long cycles that are often incorrectly predicted. (I am from Seattle, and spend a month or two there every year). The weather you get one day is strongly correlated with that of previous days.
Reiny has given you the answer they are probably looking for, but I believe a more realistic value is more like 35%.
They picked a poor example for teaching purposes.