Question

single letter from the word ALFALFA is chosen. What is the probability of choosing an For an A? Express your answer as a fraction in owest terms or a decimal rounded to the nearest millionth

Answer 1

ANSWER

5/7

EXPLANATION

The word ALFALFA has 7 letters, of which there are:

• 3 A

,

• 2 L

,

• 2 F

If we choose a single letter, the probability of choosing an F is,

$P(F)=\frac{2}{7}$

And the probability of choosing an A is,

$P(A)=\frac{3}{7}$

Since we are choosing a single letter, there is no event where we can choose both an F and an A at the same time, so the probability of choosing an F or an A is,

$P(F\text{ }or\text{ }A)=P(F)+P(A)=\frac{2}{7}+\frac{3}{7}=\frac{5}{7}$

Hence, the probability of choosing an F or an A is 5/7.