Mathematics: If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? With four hard disk drives, the probability that catastrophe can be avoided is

Your speed is 135 miles per hour....

If copies of all your computer data are stored on

ava9308

31.07.2021

$P(Atleast\ 1) = 0.9999992$

Step-by-step explanation:

Given

$p = 3\%$ --- rate of hard disk drives failure

n = 4 --- number of hard disk drives

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Required

$P(Atleast\ 1)$

First, calculate the probability that the none of the 4 selected is working;

P(none) = p^4

$P(none) = (3\%)^4$

P(none) = (0.03)^4

Using the complement rule, the probability that at least 1 is working is:

$P(Atleast\ 1) = 1 - P(none)$

This gives:

$P(Atleast\ 1) = 1 - 0.03^4$

$P(Atleast\ 1) = 0.9999992$

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