Problem

Find the probability of choosing a letter other than the letter N from a bag that contains the fifteen letters of the French city CLERMONT-FERRAND. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer

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Answer

Final Answer: The probability of choosing a letter other than the letter N from a bag that contains the fifteen letters of the French city CLERMONT-FERRAND is \(\boxed{0.867}\).

Steps

Step 1 :First, we count the total number of letters in the city name 'CLERMONT-FERRAND', which is 15.

Step 2 :Next, we count the number of times the letter 'N' appears in the name, which is 2.

Step 3 :We then calculate the probability of choosing a letter other than 'N' by subtracting the number of 'N's from the total number of letters, and then dividing by the total number of letters. This gives us \(\frac{15-2}{15} = \frac{13}{15}\).

Step 4 :Converting this fraction to a decimal gives us approximately 0.867.

Step 5 :Final Answer: The probability of choosing a letter other than the letter N from a bag that contains the fifteen letters of the French city CLERMONT-FERRAND is \(\boxed{0.867}\).

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