The probability of getting M from the word MATH placed in hat is 0.25.
Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.
P= Â number of favorable outcomes / total number of outcomes of an event
A. The problem is the probability of finding A
B. The given are MATH i.e. {M,A,T,H}
C. the operation used will be selecting a word from hat of word MATH
D. the mathematical statement from the probability of finding  M will be
  P(getting M from word MATH)
E. the answer to the problem will be calculated as
  no. of element in the hat=4 i.e. {M,A,T,H}
  no. of favorable outcomes= 1 i.e. {A}
   P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes
⇒  P(getting A from word MATH) = 1/4
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