Inside a hat are cards with the letters A, M, O, L, and S written on them, one letter per card. A card is picked twice. If the card is replaced before picking another card, what is the probability that the first card is a consonant, and the second card is a vowel?(1 point)
Responses
35
Start Fraction 3 over 5 End Fraction
725
Start Fraction 7 over 25 End Fraction
625
Start Fraction 6 over 25 End Fraction
15
The correct answer is Start Fraction 3 over 5 End Fraction, or 3/5.
There are 5 letters in total, consisting of 2 vowels (A, O) and 3 consonants (M, L, S).
The probability of picking a consonant on the first draw is 3/5 (3 consonants out of 5 letters).
After replacing the first card, the probability of picking a vowel on the second draw is 2/5 (2 vowels out of 5 letters).
Therefore, the overall probability of picking a consonant and then a vowel is (3/5) * (2/5) = 6/25 or 0.24.