One letter is randomly selected from the word PRIME and one letter is randomly selected from the word MATH. What is the probability that both letters selected are vowels?
2/5 two vowels out of five letters
1/4 one vowel out of four letters
multiply the two fractions to get your answer.
1/2
Well, the word PRIME has only one vowel, which is 'I', and the word MATH has one vowel, which is 'A'. So, when you randomly select a letter from PRIME, the probability of getting a vowel is 1 out of 5. Similarly, when you randomly select a letter from MATH, the probability of getting a vowel is 1 out of 4.
To find the probability that both letters selected are vowels, we need to multiply these probabilities together. So the probability is: 1/5 * 1/4 = 1/20.
So, the probability that both letters selected are vowels is 1 out of 20 or 5%. Now, that's prime humor!
To determine the probability of selecting vowels from the words PRIME and MATH, we first need to identify the vowels in each word.
In the word PRIME, the vowel is "I".
In the word MATH, the vowels are "A" and "E".
Now, we can calculate the probability.
Step 1: Determine the probability of selecting a vowel from the word PRIME.
Since there is only one vowel in PRIME, the probability can be calculated as 1/5.
Step 2: Determine the probability of selecting a vowel from the word MATH.
Since there are two vowels in MATH, the probability can be calculated as 2/4.
Step 3: Calculate the probability of selecting a vowel from both words.
Since these events are independent, we can multiply the probabilities together: (1/5) * (2/4) = 2/20.
Simplifying the result, we get 1/10.
Therefore, the probability of selecting a vowel from both words is 1/10.
To find the probability of selecting two vowels, one from the word "PRIME" and the other from the word "MATH," we need to determine the number of favorable outcomes (selecting two vowels) and the number of possible outcomes (total number of letter combinations).
1. Find the number of favorable outcomes:
Both words contain two vowels each.
Word "PRIME" has 2 vowels: I and E.
Word "MATH" has 1 vowel: A.
To select two vowels, we can choose one vowel from "PRIME" and one vowel from "MATH." Therefore, there are a total of 2 * 1 = 2 favorable outcomes.
2. Find the number of possible outcomes:
Word "PRIME" has a total of 5 letters.
Word "MATH" has a total of 4 letters.
To select a random letter, we can choose one letter from "PRIME" and one letter from "MATH." Therefore, there are a total of 5 * 4 = 20 possible outcomes.
3. Calculate the probability:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
Therefore, the probability of randomly selecting two vowels is 2/20 = 1/10.
So, the probability that both letters selected are vowels is 1/10.