Question

Two unique letters are chosen at random from the alphabet.

What is the approximate probability that the first letter chosen is A?

A. 0.0385
B. 0.0400
C. 0.0769
D. 0.0800

Answer 1

A - choosing letter A first


`|\Omega|=P(26,2)=(26!)/(24!)=25\cdot26\\ |A|=1\cdot25=25\\\\ P(A)=(25)/(25\cdot26)=(1)/(26)\approx0.0385`

Answer 2

A 0.0385

Explanation:

There are in total 26 letters in English alphabet

Two unique letters are chosen at random.

I letter can be taken from any one of the 26 hence

probability for I letter to be a out of 26 letters = 1/26

We can convert this into decimal as

Probability that the first letter chosen is A =0.0385

Option A is right answer.