Michael is taking a quiz in his music history class. The teacher writes the names of 666 songs on the board, and then plays 444 songs out of the 666, one after the other in a random sequence. Michael then needs to identify each of the songs in the sequence they were played. Suppose that michael hasn't studied and is randomly guessing the songs. What is the probability that michael correctly identifies all 444 songs in the correct order?.

Since Michael is taking a quiz in his music history class, and the teacher writes the names of 6 songs on the board, and then plays 4 songs out of the 6, one after the other in a random sequence, and Michael then needs to identify each of the songs in the sequence they were played, supposing that Michael hasn't studied and is randomly guessing the songs, to determine what is the probability that Michael correctly identifies all 4 songs in the correct order the following calculation must be performed:

1/6 x 1/5 x 1/4 x 1/3 = X
0.166 x 0.2 x 0.25 x 0.333 = X
0.0027 = X
0.27% = X

Therefore, the probability that Michael correctly identifies all 4 songs in the correct order is 0.27%.

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