suppose you roll two number cubes and pick a letter of the alphabet at random. find the probability you will roll two odd numbers and pick one of the letters k, l, or m.

The 2 number cubes have a probability of 3/6 and 3/6 of getting an odd number. There are 26 letters so the chance of getting k l or m is 3/26

The solution is 3/6 x 3/6 x 3/26 or 27/936 or 3/104

To find the probability of rolling two odd numbers on the number cubes and picking one of the letters K, L, or M, we need to calculate two separate probabilities: the probability of rolling two odd numbers and the probability of picking one of the specified letters. Then, we multiply these probabilities together to get the final result.

Step 1: Calculate the probability of rolling two odd numbers.
A number cube usually has six sides numbered from 1 to 6. Since we want to roll odd numbers, we can determine the number of odd outcomes by counting the odd numbers on a number cube, which are 1, 3, and 5. So, the probability of rolling an odd number on one die is 3/6, which simplifies to 1/2.

To find the probability of rolling two odd numbers on two number cubes, we multiply the probability of rolling an odd number on one die by itself:
Probability of rolling two odd numbers = (1/2) * (1/2) = 1/4.

Step 2: Calculate the probability of picking one of the letters K, L, or M.
Since we have a total of 26 letters in the alphabet, the probability of picking any single letter is 1/26.

However, we are interested in picking one of the specified letters, which are K, L, or M. Out of the 26 letters, only 3 letters fulfill this condition. Therefore, the probability of picking one of the specified letters is 3/26.

Step 3: Multiply the probabilities together.
To get the probability of rolling two odd numbers and picking one of the letters K, L, or M, we multiply the probability of rolling two odd numbers by the probability of picking one of the specified letters:
Probability = (1/4) * (3/26) = 3/104.

Therefore, the probability is 3/104 that you will roll two odd numbers and pick one of the letters K, L, or M.