Test Index

Probability

Question : 123 of 127

Marks: +1, -0

Solution:

Concept:

Probability = (favorable outcomes) / (total outcomes).

Explanation:

Total letters in "HOME": H, O, M, E → 4 letters.

Total ways to choose any 2 letters:

\binom{4}{2} = 6

Vowels: O, E. Consonants: H, M → 2 consonants.

Favorable ways (both consonants):

\binom{2}{2} = 1

Probability =

\frac{1}{6}

Answer:

\frac{1}{6}

corresponds to option A.

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