One card is randomly selected from a deck of cards Find the

One card is randomly selected from a deck of cards. Find the odds against drawing a spade greater than 2 and less than 7. _:_

A standard deck of cards have 52 cards in it.

The cards that are greater than 2 and less than 7 are: 3, 4, 5 and 6 Therefore, 4 such cards are there

Odds for an event is defined as the ratio of the probability for the event to the probability against it.

Here, the event E consists of picking one of the four cards 3S, 4S, 5S, 6S (S = Spades).

There are 4 ways for E to happen, and 48 ways for it not to happen. so the odds against E will be:

48/4 = 12/1