Question

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.

Answer 1

To find the probability of choosing the tiles with the letters A, B, and C from a bag of 26 unique letter tiles, calculate the total number of combinations and recognize that there is only one combination that includes A, B, and C. The probability is 1/2600.

Step-by-step explanation:

The question asks about the probability of selecting the tiles with the letters A, B, and C from a bag containing 26 different letter tiles, one for each letter of the alphabet. To solve this, we use the principles of probability, specifically the calculation of combinations without replacement because once a tile is picked, it is not replaced in the bag.

The first step is to calculate the total number of different ways 3 tiles can be chosen from 26, which is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items, and k is the number of items to choose. In this case, C(26, 3) = 26! / (3!(26-3)!) = 2,600.

There is only 1 way to choose the specific tiles A, B, and C, so the probability of choosing these tiles is 1/2600.

Answer 2

it will be 1 over 8 because a,b,c equals 3 you divide that to 26  and you get 8 so 1 over 8