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Answer 1

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 :-

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

Answer 2

Answer: 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 =

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 :-