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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

2 Answers

2 votes
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
User Snakeyyy
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1 vote

Answer:

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.

User Sassa
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8.3k points