que - write the sample space for choosing a vowel from the english alphabet . also find out the probability of choosing a vowel .

Let S be the sample space.

S = {A, B, C, D, E, ................,Z}


Now, vowels are: A, E, I , O and U.

We know that :

Number of alphabets = 26

Total number of possible outcomes = 26

Number of vowels = 5

Number of favourable outcomes = 5

$\mathrm{probability} \mathrm{of} \mathrm{getting} \mathrm{a} \mathrm{vowel} = \frac{\mathrm{number} \mathrm{of} \mathrm{favourable} \mathrm{outcomes}}{\mathrm{total} \mathrm{possible} \mathrm{outcomes}} = \frac{5}{26}$