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Omni-MATH / Bob writes a random string of 5 letters, where each letter is either A,B,C, or D. The letter in each position is independently chosen, and each of the letters A,B,C,D is chosen wit…

Problem

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problem

Bob writes a random string of 5 letters, where each letter is either A,B,CA, B, C, or DD. The letter in each position is independently chosen, and each of the letters A,B,C,DA, B, C, D is chosen with equal probability. Given that there are at least two AA 's in the string, find the probability that there are at least three AA 's in the string.
Plain-text mathematical notation (without MathML)
Bob writes a random string of 5 letters, where each letter is either A,B,C, or D. The letter in each position is independently chosen, and each of the letters A,B,C,D is chosen with equal probability. Given that there are at least two A 's in the string, find the probability that there are at least three A 's in the string.
Original LaTeX notation
Bob writes a random string of 5 letters, where each letter is either $A, B, C$, or $D$. The letter in each position is independently chosen, and each of the letters $A, B, C, D$ is chosen with equal probability. Given that there are at least two $A$ 's in the string, find the probability that there are at least three $A$ 's in the string.

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Source and history

task_id
2e9997c6-5ea5-557f-adba-0635c66103d2
task_key
test--2e9997c6-5ea5-557f-adba-0635c66103d2
task_revision_id
1
config / split
/ test

Official source

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