One card is randomly selected from a deck of cards. Find the odds against drawing a three
To calculate the odds against drawing a three, we need to first determine the number of outcomes that are not favorable (i.e., those that are not drawing a three) out of the total number of possible outcomes.
In a standard deck of 52 playing cards, there are four threes (one three of hearts, one three of spades, one three of diamonds, and one three of clubs). Therefore, there are 52 - 4 = 48 cards that are not threes.
The odds against drawing a three can be expressed as "48 to 4" or 48:4, which can also be simplified to 12:1.
Hence, the odds against drawing a three are 12:1.