Question

Caleb is creating a sign with the words
and work it out
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 2:
Number of consonants: 15 (T, H, N, D, S, T, S, F, R, M, R, C)
Probability of choosing a consonant: 15/22 ≈ 0.682
but isnt it 14

Answer 2

and isnt it 24 letters

Answer 3

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 4

Part 1:
Total number of letters in "THE UNITED STATES OF AMERICA": 22
Number of letter A's: 2
Probability of choosing the letter A: 2/22 = 1/11 = 0.091

Part 2:
Number of consonants: 15 (T, H, N, D, S, T, S, F, R, M, R, C)
Probability of choosing a consonant: 15/22 ≈ 0.682

Part 3:
Number of letters in the word "OF": 2
Probability of choosing a letter from "OF": 2/22 = 1/11 = 0.091

Answer 5

I apologize for the mistake. Let's correct Part 2:

Part 2:
Number of consonants: 14 (T, H, N, D, S, T, S, F, R, M, R, C)
Probability of choosing a consonant: 14/22 ≈ 0.636

Answer 6

Let me recheck the total number of letters in the phrase "THE UNITED STATES OF AMERICA":

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

Adding them up, there are indeed 24 letters. Thank you for pointing that out. Let's correct the calculations for Part 1 and Part 2.

Part 1:
Number of letter A's: 2
Probability of choosing the letter A: 2/24 = 1/12 ≈ 0.083

Part 2:
Number of consonants: 14 (T, H, N, D, S, T, S, F, R, M, R, C)
Probability of choosing a consonant: 14/24 ≈ 0.583

I hope that clears things up. Thank you for the clarification.

Answer 7

Part 3:
Number of letters in the word "OF": 2
Probability of choosing a letter from "OF": 2/24 = 1/12 ≈ 0.083

Therefore, the probability Caleb will choose a letter from the word "of" is approximately 0.083.