The letters in the word “PROBABILITY” were cut up and placed into a bag. A letter will be randomly selected from the bag. What is the probability in decimal form that the letter selected will be “B”? Round your answer to the nearest tenth.

Answer 1

To find the probability of selecting the letter "B" from the letters in the word "PROBABILITY", we first need to count the total number of letters in the word and how many of them are the letter "B".

1. The word "PROBABILITY" has a total of 11 letters.
2. The letter "B" appears 2 times in the word.

The probability \( P \) of selecting the letter "B" can be calculated using the formula:

\[ P(B) = \frac{\text{Number of B's}}{\text{Total number of letters}} \]

Substituting in the counts:

\[ P(B) = \frac{2}{11} \]

Now let's calculate this probability in decimal form:

\[ P(B) \approx 0.1818181818 \]

Rounding this to the nearest tenth, we get:

\[ P(B) \approx 0.2 \]

Therefore, the probability that the letter selected will be "B" is \( \boxed{0.2} \).