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.

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Answer:

14/55

Step-by-step explanation:

The word "replacement" has a total of 11 letters: 4 vowels and 7 consonants.

The probability that the first card is a vowel is 4/11.

Since the card is not replaced, the probability that the second card is a consonant is 7/10.

The probability of both is the product:

P = 4/11 × 7/10

P = 14/55