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

5/7

Step-by-step 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)=(2)/(7)`

And the probability of choosing an A is,

`P(A)=(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)=(2)/(7)+(3)/(7)=(5)/(7)`

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