Six letters are picked. Find the chance that they can be arranged to form the word RANDOM.

RANDOM can be arranged in 6! or 720 ways.

prob of getting it in that form = 1/720

To find the chance that the six letters can be arranged to form the word RANDOM, we need to consider the total number of possible arrangements and the number of favorable arrangements.

Total Number of Possible Arrangements:
The total number of possible arrangements can be calculated using the formula for permutations. Since there are six letters, the total number of arrangements is 6! (read as "6 factorial").
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Number of Favorable Arrangements:
To form the word RANDOM, we need to make sure that the letters R, A, N, D, O, and M are arranged in the correct order. Since there is only one correct order for these letters, there is only one favorable arrangement.

Calculating the Probability:
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the probability is:
Probability = Number of Favorable Arrangements / Total Number of Arrangements
Probability = 1 / 720

Therefore, the chance that the six letters can be arranged to form the word RANDOM is 1/720.