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Kazehaya

  • 3 years ago

Need help with a problem. Just tell me where to go with it; I don't want anyone to solve it for me. Just confused... I tried the counting principle but it didn't work. "Suppose you roll two number cubes and pick a letter of the alphabet at random. Find the probability you roll two even numbers and pick one of the vowels a, e, i, o, or u"

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  1. whatisthequestion
    • 3 years ago
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    what is the probability of rolling an even number on one of the cubes? What is the probability of choosing one of the vowels? I mean on there own

  2. Kazehaya
    • 3 years ago
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    Probability of choosing an even number on either cube is 1/2, and the probability for choosing a vowel is 5/26. Do I just add them together?

  3. whatisthequestion
    • 3 years ago
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    are they independent events?

  4. Kazehaya
    • 3 years ago
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    ...Yes, I think.

  5. whatisthequestion
    • 3 years ago
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    well they cannot impact each other so they are independent events

  6. Kazehaya
    • 3 years ago
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    right. And the probability for rolling to even numbers is 1/4

  7. Kazehaya
    • 3 years ago
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    two*

  8. whatisthequestion
    • 3 years ago
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    Unfortunately I do not remeber the formula for independent events so I would check you textbook or formula sheet . . . if I had to guess I would say it is multiplying them together so \[\frac{ 1 }{ 2 }*\frac{ 1 }{ 2 }*\frac{ 5 }{ 26 }\]

  9. Kazehaya
    • 3 years ago
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    Let's see...

  10. Kazehaya
    • 3 years ago
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    Ah! That's it. Thanks.

  11. whatisthequestion
    • 3 years ago
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    yea a quick way to see that it is not adding is that it would give you over 100% chance of success anyways don't forget to close the question

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