Question

Jennifer writes the letters M-O-N-T-A-N-A on cards and then places the cards in a hat. What are the odds in favor of picking a vowel?
3:7
4:7
3:4
4:3

I think its 3:7
And my other question is..

Jennifer writes the letters M-O-N-T-A-N-A on cards and then places the cards in a hat. What are the odds against picking a vowel?
3:7
4:7
3:4
4:3

My answer: 4:7

Answer 1

Both are correct.

Answer 2

Both are wrong
Odds and probability are not the same thing
you have found the prob(picking a vowel)

Odds in favour of picking a vowel
= prob of picking a vowel : prob of NOT picking a vowel
= 3/7 : 4/7
= 3 : 4

the second question simply reverses the odds
should be
4 : 3