kayhelfeld
contestada

if a safety switch has a 1 in 10 chance of failing, how many switches would a company want to install in order to have only a 1 in million chance of them all failing at the same time

Respuesta :

irspow
10^-n=10^-6

So n=6

Thus they will want to install 6 switches...


BackPacker99
Because every individual switch has a 1/10 chance of failing, two switches will have a (1/10)*(1/10) chance of failing.  Three switches will have a (1/10)*(1/10)*(1/10) chance of failing.  This pattern will continue.  Because [tex]( \frac{1}{10} )^6[/tex] equals 1/1,000,000, 6 switches will give you a 1 in 1 million chance of all failing at the same time.

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