The probability of the word "BLACK" being arranged from the letters K, L, B, C, A is 1 in 120.
To determine the probability of the word "BLACK" being arranged from the letters K, L, B, C, A, we first need to find the total number of possible arrangements of these five letters. The number of permutations for a set of distinct items is given by the factorial of the number of items. In this case, there are 5 distinct letters, so the total number of arrangements is 5! (read as 5 factorial), which is equal to 120.
Now, to find the probability of the word "BLACK" being arranged, we consider that there is only one arrangement that satisfies this condition (arranging the letters in the order B, L, A, C, K). Therefore, the probability is the number of favorable outcomes (1) divided by the total number of possible outcomes (120).
Thus, the probability of the word "BLACK" being arranged from the given letters is 1/120. This means that, out of all possible arrangements, only 1 arrangement results in the word "BLACK."