The board of directors for a particular companyconsists of 10 members, 6 of whom are loyal to the current companypresident and 4 of whom want to fire the president. Suppose thechair of the board (who is a loyal supporter of the currentpresident) suggests to randomly select 4 other board members toserve on a committee to decide the president’s fate. Find theprobability for the first 3 questions and explain your answer forthe fourth question. (75–150 words, or 1–2 paragraphs)
-What is the probability that all 5 committee memberswill vote to keep the president in place, if no one changes theirminds?
-What is the probability that a majority of thecommittee will vote to keep the president in place, if no onechanges their minds?
-What is the probability that the vote is 4 to 1 toreplace the president, if no one changes their minds?
-Imagine that you were the president of the companyand you hoped to keep your position. Considering the variousprobabilities, would you consider the chair of the board’ssuggestion to be in your favor or not? If the choice was yours,would you allow the suggestion to proceed?
