What do you mean by Rectangular Axes? -Maths 9th

1 Answer

Answer :

(c) \(rac{19}{90}\)In the words‘ASSISTANT’ and STATISTICS’, ‘N’ and ‘C’ are the uncommon letters. The same letters are A, I, S and T whose numbers in both the words are as follows:AISTASSISTANT\( ightarrow\)2132STATISTICS\( ightarrow\)1233 Probability of choosing ‘A’ = \(rac{^2C_1}{^9C_1}\) x \(rac{^1C_1}{^{10}C_1}\) = \(rac{2}{9}\) x \(rac{1}{10}\) = \(rac{1}{45}\) Probability of choosing ‘I’ = \(rac{1}{^9C_1}\) x \(rac{^2C_1}{^{10}C_1}\) = \(rac{1}{9}\) x \(rac{2}{10}\) = \(rac{1}{45}\) Probability of choosing ‘S’ = \(rac{^3C_1}{^9C_1}\) x \(rac{^3C_1}{^{10}C_1}\) = \(rac{3}{9}\) x \(rac{3}{10}\) = \(rac{1}{10}\) Probability of choosing ‘T’ = \(rac{^2C_1}{^9C_1}\) x \(rac{^3C_1}{^{10}C_1}\) = \(rac{2}{9}\) x \(rac{3}{10}\) = \(rac{1}{15}\)∴ Required probability = \(rac{1}{45}\) + \(rac{1}{45}\) + \(rac{1}{10}\) + \(rac{1}{15}\) = \(rac{19}{90}\).

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