A real estate agent is showing homes to a prospective buyer. There are ten homes

Question

A real estate agent is showing homes to a prospective buyer. There are ten homes in the desired price range listed in the area. The buyer has time to visit only four of them. If four of the homes are new and six have previously been occupied and if the four homes to visit are randomly chosen, what is the probability that all four are new? The same answer results regardless of whether order is considered.) 2. The results of a study that tried to determine the effects of smoking on lung cancer in a study group was as follows: Are the events "Non-smoker" and "No lung cancer" independent? The study was later modified and one more group of individuals If the events "Quit smoking and "No lung cancer are mutually exclusive, what is the probability that a person has quit smoking and has lung cancer?

Explanation / Answer

1. Here total number of houses is 10, 4 are new and 6 are old

Client will randomly select 4 houses only.

So probability that all are 4 is,

P(N=4)=(4c4)(6c0)/(10c4)=1*1/210=1/210

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