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Thread: probability

  1. #1
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    probability

    four letters are chosen at from the letters of the word TAILORED .find the probability of getting a T and three vowels.
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  2. #2
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    Re: probability

    Quote Originally Posted by markosheehan View Post
    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.
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  3. #3
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    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: $\dfrac{4}{\dbinom{8}{4}} = \dfrac{2}{35}$
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  4. #4
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    Re: probability

    thanks for the description of how you came to the answer
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