Question

Find the probability that a letter is selected from a word ‘MATHEMATICS’ is vowel.​

Answer 1

        $\text{Number of vowels in }MATHEMATICS = A,E,A,I = 4$

        $\text{Number of letters in }MATHEMATICS = 11$

$\implies \text{Number of favourable outcomes} = 4$

$\implies \text{Total Number of outcomes} = 11$

$\implies \text{Probability of selecting a vowel} = \dfrac{\text{Favourable outcomes}}{\text{Total outcomes}}= \dfrac{\text{Number of vowels}}{\text{Number of letters}}$$\implies \boxed{\text{Probability of selecting a vowel} = \dfrac{4}{11}}$