Question

one card is randomly selected from a deck of cards. find the odds against drawing a spade greater than 2 and less than 8. click the icon to view a description of a standard deck of playing cards. the odds against drawing a spade greater than 2 and less than 8 are (simplify your answer.)

Explanation:

Step1: Determine favorable outcomes

Spades greater than 2 and less than 8 are 3, 4, 5, 6, 7 of spades. So there are 5 favorable outcomes.

Step2: Determine non - favorable outcomes

A standard deck has 52 cards. So non - favorable outcomes = 52 - 5=47.

Step3: Calculate odds against

Odds against an event is the ratio of non - favorable outcomes to favorable outcomes. So the odds against are $\frac{47}{5}$.

Answer:

$47:5$