SOLUTION: It's a regular warm morning of June in King's Landing. You look outside and observe some black clouds. Will it rain today? Statistics show that there is a 30% probability of raini

Algebra ->  Probability-and-statistics -> SOLUTION: It's a regular warm morning of June in King's Landing. You look outside and observe some black clouds. Will it rain today? Statistics show that there is a 30% probability of raini      Log On


   



Question 1083667: It's a regular warm morning of June in King's Landing. You look outside and observe some black clouds. Will it rain today?
Statistics show that there is a 30% probability of raining in a regular day in King's Landing. More over, in the days with rain , in 95 % of cases there are black clouds in the morning. In the days without rain, there is a probability of 25% to appear black clouds on the sky in the morning.
Given that there are black clouds this morning, what are the chances of raining?
I hope you'll understand, cause it's translated. Thank you!

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
=========R=============NR=====Total
BC======28.5===========17.5======46
None=====1.5===========52.5======54
Total=====30============70======100
Given that there are black clouds (46), chance of rain is 28.5/46=0.6196