Question

In a network of 30 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 10 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (Round to four decimal places.)

Answer 1

To find the probability that all 4 computers with the critical file fail, we can use the concept of independent events.

The probability that a single computer with the critical file fails is 10/30, since there are 10 failed computers out of a total of 30.

Since there are 4 computers with the critical file, and we want all of them to fail, we can multiply the probabilities together:

(10/30) * (10/30) * (10/30) * (10/30) = 0.0123

Rounded to four decimal places, the probability is approximately 0.0123.