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)

Question

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 4 A's in the phrase "T H E U N I T E D S T A T E S O F A M E R I C A", out of a total of 22 letters.
Probability of choosing A = 4/22 = 2/11 ≈ 0.182

Part 2:
There are 14 consonants in the phrase "T H E U N I T E D S T A T E S O F A M E R I C A", out of a total of 22 letters.
Probability of choosing a consonant = 14/22 = 7/11 ≈ 0.636

Part 3:
There are 2 letters from the word "of" in the phrase "T H E U N I T E D S T A T E S O F A M E R I C A", out of a total of 22 letters.
Probability of choosing a letter from the word "of" = 2/22 = 1/11 ≈ 0.091