Problema Solution

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? (Compound Events)

Answer provided by our tutors

These letters are vowels in English: A, E, I, O, U, and sometimes Y


P(Both Vowels) = P(Vowel from PRIME) * P(Vowel from MATH)


P(Both Vowels) = (2/5)*(1/4)


P(Both Vowels) = 2/20


P(Both Vowels) = 1/10


P(Both Vowels) = 0.10 or 10%


the probability that both letters selected are vowels is 10%.