If a single letter is chosen at random from the word 'probability', what is the probability that the letter selected is $i$?

• A. $\frac{2}{11}$
• B. $\frac{1}{11}$
• C. $\frac{1}{10}$
• D. $\frac{2}{10}$

Answer: (A)

Verified step by step guidance

1. Step 1: Identify the total number of letters in the word 'probability'. Count each letter, including repeated ones, to find the total sample space size.
2. Step 2: Count the number of times the letter 'i' appears in the word 'probability'. This will be the number of favorable outcomes.
3. Step 3: Use the probability formula for a single event: \(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\).
4. Step 4: Substitute the counts from Step 1 and Step 2 into the formula to express the probability as a fraction.
5. Step 5: Simplify the fraction if possible to get the final probability in simplest form.