Question

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The glee club has 10 members. A quartet of four members must be chosen to sing at the university president's reception. Assume that the quartet is chosen randomly by drawing the names out of a hat. Find the probability for each case. (a) Hannah (one of the members of the glee club) is chosen to be in the quartet (b) Jen is not chosen to be in the quartet (c) the four members chosen for the quartet are Hannah, Dan, Jen, and Kim (a) The probability that Hannah (one of the members of the glee club) is chosen to be in the quartet is (Type an integer or a simplified fraction.) (b) The probability that Jen is not chosen to be in the quartet is (Type an integer or a simplified fraction) (c) The probability that the four members chosen for the quartet are Hannah, Dan, Jen, and Kim is (Type an integer or a simplified fraction) Enter your answer in each of the answer boxes

Answer 1

(a) Hannah chosen to be ui the quatet; 8 slots will be covened by 3 of Remaunng -the a membens AC3 10 C4 5 Co Probablty Hat Jen s ntchosen 1- pcbably than Jen s chasen b oC4 Co Prolaby paont t quctet tbat Den, Tan, Hannah& Kun aone 10 Cu 210