P(T or A) = P(T) + P(A) - P(T and A)
To find P(T), we count the number of T's in MATHEMATICIAN, which is 2. So, P(T) = 2/12 = 1/6.
To find P(A), we count the number of A's in MATHEMATICIAN, which is also 2. So, P(A) = 2/12 = 1/6.
To find P(T and A), we count the number of letters that are both T and A, which is 0.
Therefore, P(T or A) = 1/6 + 1/6 - 0 = 1/3.
You write each letter of the word MATHEMATICIAN on a piece of paper and put each letter in a bag. You randomly select one piece from the bag. What is P(T or A)?
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