Odds calculating

[absorensen]

Hi.

Am i right in my understanding when calculating the following odds:

Pocket holdings:
1. AK in pocket : 52/8 * 51/7 = 1:47

2. AA: 52/4 * 51/3 = 1:221

3. Suited cards : 52/13 * 51/12 = 1:17 (this is wrong - why?? is it 52/52 * 51/12 = 1:4,25??

AK in pocket and a A or K to come on flop:

4. 6/50 + 6/49 + 6 /48 - (6/50*6/49*6/48) = 0,3656 = 36,56 % to hit an A or K on the flop?

Do you guys just calculate it like 6/50 + 6/49 + 6 /48 = 0,36744?

5. flop a set: 1 /(2/50 + 2/49 + 2/48) = 1:8,16? (wrong again right?

Please help me with some good math here... thx.

Abs. /images/graemlins/confused.gif

[BruceZ]

[ QUOTE ]
Hi.

Am i right in my understanding when calculating the following odds:

Pocket holdings:
1. AK in pocket : 52/8 * 51/7 = 1:47

[/ QUOTE ]

8/52 * 4/51 = approx. 1/83 is the probability. The odds are 82:1 against. Odds are losers:winners, and probability is winners/total. 8/52 * 7/51 would be AK + AA + KK.


[ QUOTE ]
2. AA: 52/4 * 51/3 = 1:221

[/ QUOTE ]

1/221 = 220:1.


[ QUOTE ]
3. Suited cards : 52/13 * 51/12 = 1:17 (this is wrong - why?? is it 52/52 * 51/12 = 1:4,25??

[/ QUOTE ]

1/4.25 = 4/17 = 3.25:1 = 13:4.


[ QUOTE ]
AK in pocket and a A or K to come on flop:

4. 6/50 + 6/49 + 6 /48 - (6/50*6/49*6/48) = 0,3656 = 36,56 % to hit an A or K on the flop?

Do you guys just calculate it like 6/50 + 6/49 + 6 /48 = 0,36744?

[/ QUOTE ]

1 - (44/50 * 43/49 * 42/48) = 32.4%.


[ QUOTE ]
5. flop a set: 1 /(2/50 + 2/49 + 2/48) = 1:8,16? (wrong again right?

[/ QUOTE ]

A set or quads or a set+pair for full house would be
1 - (48/50 * 47/49 * 46/48) = 1/8.5 = 7.5:1.

[absorensen]

Thank you very much bruce!:-)

[gamble4pro]

Calculating by using combinations is prefferable in avoiding errors. And the calculus is simplier, because it comprises multiple steps in one. For example: the odds of being dealt pocket AA: 4 aces, so there are C(4,2) = 6 favorable 2-card combinations for our event, from C(52,2) = 1326 possible. So, the probability is 6/1326 = 0.452% or 1/221