Question

You select a card at random from the cards that make up the word “replacement”. Without replacing the card, you choose a second card. Find the probability of choosing a vowel and then not a vowel. There is 1 letter for each card.

Answer 1

replacement....total of 11 letters....4 vowels, 7 consonants

probability of first picking a vowel = 4/11
without replacing
probability of not picking a vowel = 7/10

probability of both = 7/10 * 4/11 = 28/110 reduces to 14/55