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Homework: Section 3.4 Score: 0 of 1 pt 3.4.39 Save 18 of 26 (18 complete) HW Sco

ID: 3305818 • Letter: H

Question

Homework: Section 3.4 Score: 0 of 1 pt 3.4.39 Save 18 of 26 (18 complete) HW Score: 61.54%, 16 of 26 pts Question Help A committee has fourteen members. There are two members that currently serve as the board's chairman and vice chairman. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and vice chairman. What is the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and reassigning them to their current positions? The probability is (Round to four decimal places as needed.)

Explanation / Answer

Committe has 14 members

P(current chairman and vice chairman reassigned to their current position) = P(chairman is selected as chairman again)*P(vice chairman is assigned to be vice chaiman again)

P(current chairman and vice chairman reassigned to their current position) = 1/14 * 1/13 = 1/182

= 0.0055