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
1/2 * 1/2 * 5/26
5/104
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To find the probability of rolling two even numbers and picking one of the vowels, we first need to determine the number of favorable outcomes and the total number of possible outcomes.
First, let's consider rolling two number cubes. Each number cube has six faces, numbered 1 through 6. Since we are looking for even numbers, we have three favorable outcomes: 2, 4, and 6. Thus, the probability of rolling two even numbers is 3/6 x 3/6 = 9/36, or simplified, 1/4.
Next, let's consider picking a letter of the alphabet at random. There are a total of 26 letters in the alphabet. Out of these, there are five vowels: a, e, i, o, and u. Therefore, the probability of picking a vowel is 5/26.
To find the probability of both events occurring together (rolling two even numbers and picking a vowel), we multiply the probabilities: (1/4) x (5/26) = 5/104.
So, the answer is B. 5/104.