In a city 20 percent of the population travel | vedclass

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Question

(C) Let $C$ be the set of people travelling by car and $B$ be the set of people travelling by bus.Given: $n(C) = 20\%$,$n(B) = 50\%$,and $n(C \cap B)

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(C) Let $C$ be the set of people travelling by car and $B$ be the set of people travelling by bus.Given: $n(C) = 20\%$,$n(B) = 50\%$,and $n(C \cap B) = 10\%$.We need to find the percentage of persons travelling by car or bus,which is given by $n(C \cup B)$.Using the formula for the union of two sets:$n(C \cup B) = n(C) + n(B) - n(C \cap B)$Substituting the values:$n(C \cup B) = 20 + 50 - 10 = 60$.Therefore,the percentage of persons travelling by car or bus is $60\%$.

In a city $20$ percent of the population travels by car,$50$ percent travels by bus and $10$ percent travels by both car and bus. Then the percentage of persons travelling by car or bus is......$\%$.

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