Hello,
this is not homework, just a problem that has been bothering me.
Say the chance of a hurricane (in the next year) is 10%, the chance of an earthquake is 20% and the chance of a blizzard is 30%.
I want to know the odds that only one of these things is going to happen.
I know how to do that in a very "sisyphean" way:
[(1-0.1)*(1-0.2)*0.3]+[(1-0.1)*0.2*(1-0.3)]+[0.1*(1-0.2)*(1-0.3)]=0.398 so that's 39.8%.
The problem is this way is not practical if you have 20 different factors instead of 3.
Do you know a faster way to solve this sort of problem? maybe some equation that takes the sum of the odds, or the average odd,s or the product of the odds, or the number of different factors?
this is not homework, just a problem that has been bothering me.
Say the chance of a hurricane (in the next year) is 10%, the chance of an earthquake is 20% and the chance of a blizzard is 30%.
I want to know the odds that only one of these things is going to happen.
I know how to do that in a very "sisyphean" way:
[(1-0.1)*(1-0.2)*0.3]+[(1-0.1)*0.2*(1-0.3)]+[0.1*(1-0.2)*(1-0.3)]=0.398 so that's 39.8%.
The problem is this way is not practical if you have 20 different factors instead of 3.
Do you know a faster way to solve this sort of problem? maybe some equation that takes the sum of the odds, or the average odd,s or the product of the odds, or the number of different factors?