First slide

Theorems of probability

Question

At random the letters of the word "Article" are arranged in all possible ways then the probability that the arrangement begins with a vowel is

Easy

A

$\frac{1}{7}$
B

$\frac{2}{7}$
C

$\frac{3}{7}$
D

$\frac{5}{7}$

Solution

$\bar{A} RT \bar{I} CL \bar{E}$ $\Rightarrow n (S) = 7!$
$n (A) = 3.6!$
$P (A) = \frac{3.6!}{7!} \Rightarrow \frac{3}{7}$

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