Proposition bet being offered to me

[MinionOfNothing]

My friend has offered me the following proposition bet which I believe to be in my favour, but would like to hear some confirmation.

We each put up $100.

I get 5s 2s.
He gets Qs Qc.

We deal out 100 sets of 5 cards, and I need to win 14 times out of 100 to collect the $200.

If the odds are in my favour, by how much? I don't have any of the software that some of you guys have, so I can't get these numbers on my own.

Thanks.