Question

Find each of the odds for a deck of 52 cards.

odds against drawing a 2? __ : 1
odds in favor of drawing a 2? 1 :__
odds against drawing a black 4? __ : 1
odds in favor of drawing a black 4? 1 : __

Answer 1

Figure out the sample space.
52 cards
4 suits
So __ of each suit
13 values
So __ of each value

Answer 2

The word odds makes it a bit funkier to figure out. Odds of 2:1 against means a 1/3 probability of success.

Answer 3

Ok I'm lost

Answer 4

OK. How many twos are there in a deck of 52 cards?

Answer 5

no idea

Answer 6

Are you familiar with a deck of cards?

Answer 7

nope

Answer 8

ok I found it there are 4 of each card,

Answer 9

Start with this picture from this article:
http://en.wikipedia.org/wiki/Playing_card

Answer 10

ok do there's 4

Answer 11

Right, 4 of each value: one spade, one heart, one diamond, one club.
So the chance of drawing a particular value, say 2 in one draw is 4/52. OK?

Answer 12

ok

Answer 13

So the probability of not drawing a 2 in one draw is 1 - 4/52 = 48/52. OK?

Answer 14

ok and how I found the odds against and in favor

Answer 15

So, for every 4 draws which give a 2 there are 48 that do not. Dividing,
for every 1 draw which gives a 2 there are 12 that do not.
The odds are said to be 12:1 against.

Answer 16

so in favor is backwards 1:12

Answer 17

I think so. I really dislike odds. It's only good for horse racing.
The second type of problem you had is about a "black 4". If you look at the cards you'll see there are 2 black 4's in a deck (spades and clubs).

Answer 18

which is 1:6 ? this is so stupid I can barely understand this concept

Answer 19

Well cards and dice and coins are standard fare for basic probability concepts.

Answer 20

In the case of the black 4's there are only two of them so your probabilities are
2/52 and 50/52. I'll leave it to you to calculate the odds.

Answer 21

ok let me see if I can do this. Thank you!