The probability that the sequence is guessed on the first try is 1/24
How to determine the probability?
The given parameters are:
Colors = 4
Selection = 3
The first color can be selected from any of the 4, the second can be selected from any of the remaining 3 and the third can be selected from any of the remaining 2.
So, the number of sequence is:
Sequence = 4 * 3 * 2
This gives
Sequence = 24
Only one of these sequence is correct
Hence, the probability that the sequence is guessed on the first try is 1/24
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