Question

Suppose you roll two number cubes and pick a letter of the alphabet at random. Find the probability you roll 2 even numbers and pick one of the vowels a, e, i, o, or u.

A. 7/104
B. 5.104
C. 1/6
D. 1/104

Answer 1

Hint:

assuming the events are independent, you would multiply out the probabilities

Answer 2

P(even number, even number, vowel) = P(even number)*P(even number)*P(vowel)

Answer 3

its 1/104

Answer 4

P(even number) = ???

Answer 5

There are 3 even numbers (2,4,6)

Out of 6 total (1,2,3,4,5,6)

So...

P(even number) = ???

Answer 6

oh its 1/12

Answer 7

wait that's not right

Answer 8

even number is 12

Answer 9

if you roll the die, what's the probability of rolling an even number?

Answer 10

keep in mind that 3 out of the 6 numbers are even

Answer 11

it's not 1/12

Answer 12

so then its 1/6

Answer 13

yes

Answer 14

Thank you all :)

Answer 15

P(even number) = 3/6

P(even number) = 1/2

Answer 16

P(vowel) = 5/26

Answer 17

P(even number, even number, vowel) = P(even number)*P(even number)*P(vowel)

P(even number, even number, vowel) = (1/2)*(1/2)*(5/26)

I'll let you multiply it out

The answer is NOT 1/6