Question

Suppose you draw a card from a well-shuffled deck of 52 cards. Find each of the following odds.

Odds against drawing a 3?
_:1
What are the odds of drawing a 3?
1:_
Odds against drawing a black 7?
_:1
Odds in favor of drawing a black 7?
1:_

Answer 1

1. 2/52 2. 51/52 3. 1/52

Answer 2

1) number of cards that aren't : number of cards that are 3
we have 48 cards that arent 3 and 4 cards that are. that means that odds are:
12:1 of not drawing 3

2) fallow same logic. its just opposite.
1:12

3) same logic. but there are only 2 black 7 cards which means that odds are:
50:2 or
25:1

4) opposite of previous.
1:25