Probability Question

[Jamessmith5555]

Hi I have 2 questions for which I was looking for an answer:

• Your client employs 2 cleaning services A Company and B Company. A Company cleans the properties north of the river and B Company cleans those in the south. The properties are split evenly between them. A Company cleans 50 properties an hour and starts at 9am. B Company cleans 30 properties an hour and starts at 8am. Today one of your guests arrives early at 10am. What is the probability that the guest’s room has been cleaned?
• Today both cleaning agencies call in and let you know there has been a workers strike. A Company has shut for the day and cannot clean any properties, B Company has managed to do half the properties it was contracted to do. Your inspection manager leaves you a voicemail and says he’s inspected 3 properties, all on the same side of the river and none have been cleaned. What are the odds that he is on the north side of the river?.

James

 

[Dr.Peterson]

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[HallsofIvy]

The first question as missing information- how many properties there are altogether.

"A Company cleans 50 properties an hour and starts at 9am."
So by 10:00 A company will have cleaned 50 properties

"B Company cleans 30 properties an hour and starts at 8am."
So by 10:00 B company will have cleaned 60 properties.

A total of 50+ 60= 110 properties have been cleaned but to answer the question you have to know what percentage of all properties that is.