## anonymous 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"

1. anonymous

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. anonymous

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. anonymous

are they independent events?

4. anonymous

...Yes, I think.

5. anonymous

well they cannot impact each other so they are independent events

6. anonymous

right. And the probability for rolling to even numbers is 1/4

7. anonymous

two*

8. anonymous

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. anonymous

Let's see...

10. anonymous

Ah! That's it. Thanks.

11. anonymous

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