Q120 / 180 · KCET 2019 · Mathematics

Two letters are chosen from the letters of the word 'EQUATIONS'. The probability that one is
vowel and the other is consonant is

  • A
    \( \frac{4}{9} \)
  • Correct answer
    B
    \( \frac{5}{9} \)
  • C
    \( \frac{8}{9} \)
  • D
    \( \frac{3}{9} \)

Solution

(B) 9 Letters word vowels $=5$ consonants $=4$ $P(1$ vowel and 1 consonant $)=\frac{{ }^{5} C_{1} \times{ }^{4} C_{1}}{{ }^{9} C_{2}}=\frac{5 \times 4}{\frac{9 \times 8}{2}}$

Hence, the correct answer is option: 'B'.

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