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There are 40 students in Class X of a sc...

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on a separate card, the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of (i) a girl?(ii) a boy?

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Here, total number of students , `n(S) = 40`
Total number of girls, `n(G) = 25`
Total number of boys, `n(B) = 15`
(i)Probability a girl is selected, `P(G) =( n(G))/(n(S)) =25/40 = 5/8`

(ii)Probability a boy is selected, `P(B) =( n(B))/(n(S)) =15/40 = 3/8`

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