A top Industrialist family in a city goes for a vacation, whose security is not dependable. The probability that the security will forget to guard the house during their absence is $0.2$ . The probability that house is burgled if guarded is $0.35$ and the probability burgled if not guarded is $0.8$ . After a shert vacation, Industrialist returns and found that the house is burgled. What is the probability that the security forgot to guard the house. [3Marks]

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A top Industrialist family in a city goes for a vacation, whose security is not dependable. The probability that the security

A top Industrialist family in a city goes for a vacation, whose security is not dependable. The probability that the security will forget to guard the house during their absence is

0.2

. The probability that house is burgled if guarded is

0.35

and the probability burgled if not guarded is

0.8

. After a shert vacation, Industrialist returns and found that the house is burgled. What is the probability that the security forgot to guard the house. [3Marks]

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