Question

16. In a colony of 125 members, 70 members watch
Telugu channel, 80 members watch Hindi chan-
nel and 95 watch English channel, 20 watch only
Telugu and Hindi, 35 watch only English and
Hindi and 15 watch only Telugu and English.
How
many
members watch all the three channels,
if each watches either of the channels?​

Answer 1

Answer:

Let the given equation be

n(M)=70( students passed in mathematics) ;

n(S)=55 ( students passed in Statistics) ;

n(M∩S)=30

Therefore, probability of students passed in mathematics =

125

70

Probability of students passed in statistics =

125

55

Implies that, P(M∪S)=P(M)+P(S)−P(M∩S)

Implies that, P(M∪S)=

125

70

+

125

55

−

125

30

Hence the result is =

25

13

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