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Answer to Question #1981 in Statistics and Probability for Zen

Question #1981
Mary and Peter are tagging words in a text. Unfortunenately they dont read the text first, but just start to tag the words randomly.
At 30% of the words, Mary tags a word with the DT-tag.(determiner-tag)
At 50% of the words, Mary tags a word with the NN-tag (noun-tag)
At 20% of the words, Mary tags a word with the VB-tag.(verb-tag)

Peter use the the same strategy as Mary without seeing what tags she has used on each word.
At 30% of the words, Peter tags a word with the DT-tag.(determiner-tag)
At 50% of the words, Peter tags a word with the NN-tag (noun-tag)
At 20% of the words, Peter tags a word with the VB-tag.(verb-tag)

Question: What is the probability that they both would give a same tag to a same word?
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