Question

The letters that form the word ALGEBRA are

Answer 1

Answer:

Nearly 23.8%

Step-by-step explanation:

The word ALGEBRA consists of letters A, L, G, E, B, R and A (2 letters A and 5 letters other than A).

The probability that the first letter chosen will be other than A is

$\dfrac{5}{7}$

Then 2 letters A and 4 letters other than A left (6 letters in total). The probabilty that the second letter chosen is A is

$\dfrac{2}{6}=\dfrac{1}{3}$

Hence, the probability of choosing a letter other than A and then choosing an A is

$\dfrac{5}{7}\cdot \dfrac{1}{3}=\dfrac{5}{21}\approx 23.8\%$