1. ## probability

four letters are chosen at from the letters of the word TAILORED .find the probability of getting a T and three vowels.

2. ## Re: probability

Originally Posted by markosheehan
four letters are chosen at from the letters of the word TAILORED .find the probability of getting a T and three vowels.
The probability of getting any particular subset of four is $\dfrac{1}{\dbinom{8}{4}}$
Next list all the correct outcomes.

3. ## Re: probability

Choose three vowels: $\dbinom{4}{3}$ ways. Choose the $t$: 1 way.
By the product principle, there are 4 ways to choose a T and three vowels.

Total number of ways to choose four letters from TAILORED: $\dbinom{8}{4}$

Probability: $\dfrac{4}{\dbinom{8}{4}} = \dfrac{2}{35}$

4. ## Re: probability

thanks for the description of how you came to the answer