Question

each individual letter of the word washington is placed on a piece of paper, and all 10 pieces of paper are placed in a hat. if one letter is selected at random from the hat, find the probability that the letter \a\ is selected.

what is the probability that the letter \a\ is selected?
\\(p(a) =\\) (type an integer or a simplified fraction.)

Explanation:

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<reasoning>

Count the total number of outcomes

\[
\text{Word: "Washington"} \implies \text{Letters: W, a, s, h, i, n, g, t, o, n}
\]
\[
\text{Total pieces of paper } (N) = 10
\]

Count the number of favorable outcomes

\[
\text{Favorable letter: "a"}
\]
\[
\text{Frequency of "a" in "Washington"} = 1
\]

Calculate the probability

\[
P(\text{a}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{10}
\]
</reasoning>

<answer>
What is the probability that the letter "a" is selected?

\(P(\text{a}) =\) <blank>\(\frac{1}{10}\)</blank>
</answer>

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Answer:

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<reasoning>

Count the total number of outcomes

\[
\text{Word: "Washington"} \implies \text{Letters: W, a, s, h, i, n, g, t, o, n}
\]
\[
\text{Total pieces of paper } (N) = 10
\]

Count the number of favorable outcomes

\[
\text{Favorable letter: "a"}
\]
\[
\text{Frequency of "a" in "Washington"} = 1
\]

Calculate the probability

\[
P(\text{a}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{10}
\]
</reasoning>

<answer>
What is the probability that the letter "a" is selected?

\(P(\text{a}) =\) <blank>\(\frac{1}{10}\)</blank>
</answer>

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