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)

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.

There are 3 letter A's in the phrase "THE UNITED STATES OF AMERICA" out of a total of 25 letters.
Probability of choosing A = 3/25 ≈ 0.120

Part 2.
There are 13 consonants in the phrase "THE UNITED STATES OF AMERICA" out of a total of 25 letters.
Probability of choosing a consonant = 13/25 ≈ 0.520

Part 3.
There are 2 letters from the word "of" in the phrase "THE UNITED STATES OF AMERICA" out of a total of 2 letters.
Probability of choosing a letter from "of" = 2/25 ≈ 0.080