Question

If five letters K, L, B, C, A are arranged. What is the

probability of the arranged word being ‘BLACK’?

Answer 1

The probability of arranging the letters K, L, B, C, A to form the word 'BLACK' is 1 out of 120 possible arrangements.

Step-by-step explanation:

The question seeks the probability that when the five letters K, L, B, C, A are arranged, the word 'BLACK' is formed. To find this probability, we must consider the number of favorable outcomes over the number of possible outcomes. Since we want the word 'BLACK', there is only one favorable outcome, which is the word itself. The possible number of arrangements of the five letters (assuming no repetition) is calculated by factorial, which is represented as 5! (5 factorial).

5! = 5 × 4 × 3 × 2 × 1 = 120 possible arrangements

The probability of forming the word 'BLACK' is:

P(BLACK) = Number of favorable outcomes / Number of possible outcomes

P(BLACK) = 1 / 120

Therefore, the probability of arranging these letters to form the word 'BLACK' is 1/120.