What are the odds against drawing a face card?

Mar 23, 2018

Odds against drawing a face card are $3.333$

Explanation:

Odds against is given by number of unfavorable outcomes to number of favorable outcomes.

Here drawing a face card is a favourable event. As there are $12$ face cards against a total of $52$ cards in pack,

number of unfavourable outcomes are $52 - 12 = 40$

and number of favourable outcomes are $12$

Hence odds against are $\frac{40}{12} = \frac{10}{3} = 3.333$