Total selected problems by professor = 3
total assignments to be done by students = 7
total assignements Elise did =5
P( assignment completed by Elise will be chosen by professor in first attempt ) = 5/7
P(assignment completed by Elise will be chosen by professor in second attempt given completed assignment was chosen in first draw ) = 4/6
P(assignment completed by Elise will be chosen by professor in sthird attempt given completed assignment was chosen in first draw ) = 3/5
P( Elise get complete score) = probability that professor chose 3 assignments from those 5 assignements completed by Elise = (5/7) * (4/6) * (3/5)
= 0.28571
So , there is 28.571 probability that Elise will get full grades
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