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Four-teachers-A-B-C-and-D-each-proposed-two-exercises-one-on-algebra-and-another-on-analyses-to-form-an-exam-The-students-have-to-choose-two-exercises-at-random-1-Calculate-the-probability-P-a




Question Number 110911 by Ar Brandon last updated on 31/Aug/20
Four teachers A, B, C, and D each proposed two exercises,  one on algebra and another on analyses, to form an exam.  The students have to choose two exercises at random.  1. Calculate the probability P(a) of a student to choose  two exercises on algebra.  a\ P(a)=(3/(16)) , b\P(a)=(3/(14)) , c\P(a)=(1/4) , d\None  2. Calculate the probability P(b) of choosing two exercises  proposed by the same teacher.  a\P(b)=(1/(10)) , b\P(b)=(1/(60)) , c\P(b)=(1/7) , d\None  3. Calculate the probability P(c) of choosing two exercises  proposed by teacher A.  a\P(c)=(1/3) , b\P(c)=(1/4) , c\P(c)=(1/(28)) , d\None
FourteachersA,B,C,andDeachproposedtwoexercises,oneonalgebraandanotheronanalyses,toformanexam.Thestudentshavetochoosetwoexercisesatrandom.1.CalculatetheprobabilityP(a)ofastudenttochoosetwoexercisesonalgebra.aP(a)=316,bP(a)=314,cP(a)=14,dNone2.CalculatetheprobabilityP(b)ofchoosingtwoexercisesproposedbythesameteacher.aP(b)=110,bP(b)=160,cP(b)=17,dNone3.CalculatetheprobabilityP(c)ofchoosingtwoexercisesproposedbyteacherA.aP(c)=13,bP(c)=14,cP(c)=128,dNone

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