Probability

[euphoria1997]

Suppose all the letters of the campaign HeforShe placed in a box and 2 letters are drawn consecutively without replacement. What is the probability that the first letter is a vowel and the second letter is a consonant?


Helpp me?

 

[Deleted member 4993]

Suppose all the letters of the campaign HeforShe placed in a box and 2 letters are drawn consecutively without replacement. What is the probability that the first letter is a vowel and the second letter is a consonant?


Helpp me?

How many letters are available for drawing? How many of those are vowels and how many of those are consonant?

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[HallsofIvy]

Since this is been here for more than a week with no response from euphoria1997:

There are 8 letters, three of them, e, o, and e, vowels and 5 of them, H, f, r, s, and h, consonants. The probability the first letter chosen is a vowel is 3/8. If that happens there are 7 letters left, 5 of them consonants so the probability the second letter chosen is a consonant is 5/7. The probability the two letters chosen are a vowel and a consonant, in that order, is (3/8)(5/7)= 15/56.