a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a, e, i, o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040

Question

Mathematics

Harley Mahoney

18 November, 15:57

a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a, e, i, o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040

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Answers (1)

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Layla Norris · Answer 1

2205/17576

Step-by-step explanation:

26 cards

5 vowels, 21 consonants

P (consonant) = consonant / total = 21/26

Return the card

26 cards

5 vowels, 21 consonants

P (vowel) = vowel/total = 5/26

Return the card

26 cards

5 vowels, 21 consonants

P (consonant) = consonant / total = 21/26

P (consonant, return, vowel, return, consonant) = 21/26 * 5/26 * 21/26

2205/17576