50 students are playing e-sports of different games in which 20 students like e-sports of mini-golf master, 18 students like e-sports of goalkeeper challenge and 12 students like e-sports of north hockey. Find the probability of each e-sports mentioned. Also check whether probability of each esports mentioned is 1 or not.
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Let 'A' be the set of students who play cricket, 'B' be the set of students who play tennis.
It is given that, n(A)=25, n(B)=20 and n(A∩B)=10= students who play both the games
Thus n(A∪B)=n(A)+n(B)−n(A∩B)=20+25−10=35
Therefore the students who play neither of the cricket and tennis =60−35=25
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