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

(simplify your answer.)

The number of cards in a deck without jokers is 52. If you draw just one card then the probability is going to have 52 in the denominator

the cards between 2 and 7 in the spade suit are 3 4 5 6. Since you have written "between", 4 cards will be successful.

The answer is P(3,4,5,6) = 4/52 which reduces to 1/13

Answer 1/13.