First slide

Theorems of probability

Question

At random all the letters of the word "MATHS" are arranged in all possible ways. The probability that the arrangement begins with vowel and ends with a consonant is

Easy

A

$\frac{1}{5}$
B

$\frac{2}{5}$
C

$\frac{3}{5}$
D

$\frac{4}{5}$

Solution

$\frac{(1) 4!}{5!} = \frac{1}{5}$
Note : ‘A’ is fixed at first blank

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