Find the probability.
You roll two odd numbers and pick a vowel ( when you roll two number cubes and pick a letter of the alphabet at random)
there are 9 ways for the 2 die to fall with both numbers odd, that is ....
11, 13, 15, 31, 33, 35, 51, 52, 55
there are 5 vowels from the 26 letters
prob of your event = 9/36 x 5/26 = 45/936 = 5/104
To find the probability, we need to determine the number of favorable outcomes (the desired outcomes) and the total number of possible outcomes.
First, let's consider rolling two number cubes. Each cube has numbers from 1 to 6. Since we want odd numbers, we need to find the total number of odd numbers on one cube, and then multiply it by itself to account for both cubes.
On a single number cube, there are three odd numbers: 1, 3, and 5. So, the total number of odd numbers on both cubes would be 3 * 3 = 9.
Now, let's determine the probability of rolling two odd numbers. The total number of possible outcomes when rolling two cubes is 6 * 6 = 36 (since each cube has 6 sides). Therefore, the probability of rolling two odd numbers is 9/36.
Next, we need to pick a vowel from the English alphabet. There are 5 vowels: A, E, I, O, and U.
The probability of picking a vowel out of the 26 letters in the English alphabet is 5/26.
Now, to find the probability of both events happening, we multiply their individual probabilities together:
Probability of rolling two odd numbers * Probability of picking a vowel
= (9/36) * (5/26)
= 45/936
= 15/312
Therefore, the probability of rolling two odd numbers and picking a vowel is 15/312.