Questions: What is the probability that the letter "e" is selected? Each individual letter of the word "Machigan" placed on a piece of paper and placed in a hat. If one letter is selected at random from the hat, find the probability that the letter "a" is selected.

Solution Steps

To find the probability that the letter "a" is selected from the word "Machigan," we need to determine the total number of letters in the word and the number of times the letter "a" appears. The probability is then the ratio of the number of "a"s to the total number of letters.

The word "Machigan" contains 8 letters.

The letter "a" appears 2 times in the word "Machigan".

The probability \( P \) of selecting the letter "a" is given by the ratio of the number of "a"s to the total number of letters: \[ P(a) = \frac{\text{count of } a}{\text{total letters}} = \frac{2}{8} = \frac{1}{4} \]

Final Answer