A teacher at Soledad Prison has 22 thugs in his class, including the “extra-mean” thugs Bluto, Brutus, Bruiser, Boone, Ogre, and Olaf. He randomly selects 8 of the 22 to fight in a brawl with thugs from another instructor’s class. What is the probability that he gets: (a) none of the extra-mean thugs? (i.e., exactly 0 of the extra-mean thugs?) (b) exactly 5 of the extra-mean thugs? (c) at least 1 of the extra-mean thugs? (i.e., 1 or more of the extra-mean thugs?)

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A teacher at Soledad Prison has 22 thugs in his class, including the “extra-mean” thugs Bluto, Brutus, Bruiser, Boone, Ogre, and Olaf. He randomly selects 8 of the 22 to fight in a brawl with thugs from another instructor’s class. What is the probability that he gets:

(a) none of the extra-mean thugs? (i.e., exactly 0 of the extra-mean thugs?)

(b) exactly 5 of the extra-mean thugs?

(c) at least 1 of the extra-mean thugs? (i.e., 1 or more of the extra-mean thugs?)

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We have to use hypergeometric distribution to find the probabilities.

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