# what are the odds that you will pick a red jack from a deck of cards?

### 4 Answers

- PuzzlingLv 71 month ago
You again asked for "odds" which is different than "probability". They are both ways to express likelihood, but they aren't the same.

Probability is the ratio of favorable outcomes to *total* outcomes.

There are 2 red jacks (J♥ and J♦) in a deck of 52 cards

So the *probability* is 2 in 52:

2/52 = 1/26

Odds in favor are expressed as the ratio of favorable outcomes to *unfavorable* outcomes. If there are 2 favorable outcomes, there are 50 unfavorable outcomes.

So the *odds in favor* are 2 to 50 in favor

2:50 = 1:25

Odds against are just reversed as the ratio of unfavorable outcomes to favorable outcomes.

So the *odds against* are 50 to 2 against

50:2 = 25:1

Answer:

Probability is 1 in 26 --> 1/26

Odds in favor are 1 to 25 --> 1:25

Odds against are 25 to 1 --> 25:1