Question

You draw 3 letters from a hat (a - z) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 letters of your name?

Answer 1

To find the probability of writing the first 3 letters of your name when drawing 3 letters from a hat at random without replacement, you need to consider the total number of possible outcomes and the number of favorable outcomes.

Step-by-step explanation:

To find the probability of writing the first 3 letters of your name when drawing 3 letters from a hat at random without replacement, you need to consider the total number of possible outcomes and the number of favorable outcomes.

There are 26 letters in the English alphabet, so the total number of possible outcomes is 26!/(26-3)!. This is because you are choosing 3 letters out of a set of 26.

The probability of getting the first 3 letters of your name depends on the number of letters in your name. Let's say your name has n letters. The probability would be 1/n! since you need to specifically pick the first n letters of your name in the correct order.

So, the probability of writing the first 3 letters of your name is 1/n! divided by 26!/(26-3)!.