A Bank has two computers. The probability that the newer one will break down in any particular month is 0.05. The probability that the older one will
break down in a particular month is 0.10. What is the probability that both
will break down during the month of October?
What is the probability that neither will break down during October?
what is the probability that neither will break down during October?

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Ответ:

Jorjalilli1318

25.04.2022

Mathematics

This factorization is not a prime factorization. 22, 54, 8 and 112 are even numbers, so they are not prime (there is only one number that is even and prime - 2).

Correct prime factorization:

$22=2\cdot11\\\\3\, \text{ - prime number}\\\\54 = 9\cdot6=3\cdot3\cdot2\cdot3\\\\8=2\cdot2\cdot2\\\\112=56\cdot2=7\cdot8\cdot2=7\cdot2\cdot2\cdot2\cdot2$

so:

$22\cdot3\cdot54\cdot8\cdot112=2\cdot11\cdot3\cdot3\cdot3\cdot2\cdot3\cdot2\cdot2\cdot2\cdot7\cdot2\cdot2\cdot2\cdot2=\\\\=\boxed{2^9\cdot3^4\cdot7\cdot11}$

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