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Question

Tim Bleckie is the owner of Bleckie Investment and Real Estate Company. The company recently purchased four tracts of land in Holly Farms Estates and six tracts in Newburg Woods. The tracts are all equally desirable and sell for about the same amount.

(a) 	

What is the probability that the next two tracts sold will be in Newburg Woods? (Round your answer to 3 decimal places.)

 Probability 	 ________

(b) 	

What is the probability that of the next four sold at least one will be in Holly Farms? (Round your answer to 3 decimal places.)

  Probability ____________

πguy · Accepted Answer

There are ten tracts, and six of them are in Newburg Woods.
The probability that the first tract is in Newburg Woods would be 6/10
The probability that the second tract would also be in Newburg Woods would be 5/9, since one of the Newburg Woods tracts was selected already.
P(both)= 6/10 * 5/9 = 30/90 = 1/3

There are a lot of ways to be at least one, and it would be hard to count them all. The opposite of "at least one" is none. None would be all Newburg Woods
P(all Newburg)= 6/10 * 5/9 * 4/8 * 3/7 = 1/14
P(at least one Holly Farms)= 1- 1/14 = 13/14

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