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A certain computational problem is divided into ten sub-problems that are solved

ID: 3580374 • Letter: A

Question

A certain computational problem is divided into ten sub-problems that are solved simultaneously by ten computers, one sub-problem per computer. Due to power outages, the probability that a single sub-problem fails to be solved is 0.1. The computation of the whole problem is declared a failure if at least one of the sub-problems fails. What is the probability that the whole computation succeeds, assuming that power failures are independent events? Choose the closest value.

0

0.3

0.6

0.9

A)

0

B)

0.3

C)

0.6

D)

0.9

Explanation / Answer

Answer :

A certain computational problem is divided into ten sub-problems that are solved simultaneously by ten computers, one sub-problem per computer. Due to power outages, the probability that a single sub-problem fails to be solved is 0.1. The computation of the whole problem is declared a failure if at least one of the sub-problems fails. What is the probability that the whole computation succeeds, assuming that power failures are independent events? Choose the closest value.

A) 0

B) 0.3

C) 0.6

D) 0.9

Answer :

C) 0.6

....................

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