Question

Words are formed using all the letters A, B, G, S, and E without repetition. If a word is chosen randomly then, what is the probability that the word starts with A?

• A. $\left(\frac{4}{5}\right)$
• B. $\left(\frac{3}{5}\right)$
• C. $\left(\frac{1}{5}\right)$
• D. $\left(\frac{3}{8}\right)$

Answer 1

The correct option is C

$\left(\frac{1}{5}\right)$

The number of letters given A, B, G, S, E = 5.
Total numbers words that can be formed without any repetition = 5!
The number of words starting with A = 4!
Probability = (Number of favorable cases/Total number of cases)
= $\frac{4!}{5!}$
=$\frac{1}{5}$.