Introduction:
The probability of choosing a specific letter from the English alphabet at random can be determined by considering the total number of favorable outcomes (the number of letters in the word MATHEMATICS) and the total number of possible outcomes (the total number of letters in the English alphabet).

Calculating the Total Number of Favorable Outcomes:
The word MATHEMATICS consists of 11 letters: M, A, T, H, E, M, A, T, I, C, and S. Therefore, there are 11 favorable outcomes.

Calculating the Total Number of Possible Outcomes:
The English alphabet consists of 26 letters: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, and Z. Hence, there are 26 possible outcomes.

Calculating the Probability:
The probability of choosing a letter of the word MATHEMATICS at random can be calculated using the formula:

Probability = (Number of Favorable Outcomes) / (Number of Possible Outcomes)

Substituting the values, we get:

Probability = 11 / 26

Simplifying the fraction, we find:

Probability = 0.4231 (rounded to four decimal places)

Explanation:
The probability that a randomly chosen letter is a letter of the word MATHEMATICS is approximately 0.4231. This implies that there is a 42.31% chance of selecting a letter from the word MATHEMATICS when choosing a letter at random from the English alphabet.

It is important to note that this probability assumes each letter of the English alphabet is equally likely to be chosen. Additionally, the calculation does not consider the order or repetition of the letters within the word MATHEMATICS.

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