6 The diagram shows five cards, each with a letter on it.
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The letters A and E are vowels; the letters B, C and D are consonants.
- Two of the five cards are chosen at random, without replacement. Find the probability that they both have vowels on them.
- The two cards are replaced. Now three of the five cards are chosen at random, without replacement. Find the probability that they include exactly one card with a vowel on it.
- The three cards are replaced. Now four of the five cards are chosen at random without replacement. Find the probability that they include the card with the letter B on it.