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Answer: \dfrac{1}{6}

Step-by-step explanation:

Given: The NUMBER of persons elected  to the Board of DIRECTORS for a community organization = 3

To select person first for president and then for president, the total number of ways = ^3P_2=\dfrac{3!}{(3-2)!}=\dfrac{3!}{1!}=6

The number of ways Jack will be selected first for president and Sheila will be selected SECOND for VICE president = 1

Then , the PROBABILITY that Jack will be selected first for president and Sheila will be selected second for vice president is given by :-

P=\dfrac{\text{Favorable}}{\text{Total}}=\dfrac{1}{6}


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