Caleb is creating a sign with the words

Question

Caleb is creating a sign with the words

T H E U N I T E D S T A T E S O F A M E R I C A

with each letter having its own cutout. If a letter is randomly chosen, complete each part below.

(3 points)
Part 1. What is the probability Caleb will choose the letter A?

Enter the probability as a decimal rounded to the thousandth place. (3 digits)

Part 2. What is the probability Caleb will choose a consonant?

Enter the probability as a decimal rounded to the thousandth place. (3 digits)

Part 3. What is the probability Caleb will choose a letter from the word “of”?

Enter the probability as a decimal rounded to the thousandth place. (3 digits)

Answer 1

Part 1. Probability of choosing the letter A:

There are 5 A's in the phrase "THE UNITED STATES OF AMERICA" and a total of 28 letters.

P(A) = 5/28 ≈ 0.178

Part 2. Probability of choosing a consonant:

There are 15 consonants in the phrase "THE UNITED STATES OF AMERICA" and a total of 28 letters.

P(consonant) = 15/28 ≈ 0.536

Part 3. Probability of choosing a letter from the word "of":

There are 2 letters in the word "of" and a total of 28 letters.

P(letter from 'of') = 2/28 ≈ 0.071