The Numbers Chapter

Question 1

Probability is not good for short-term results, it is great for ____-____ results.

Answer 1

LONG-TERM

Question 2

You should never play as though you are on a ____.

Answer 2

RUSH, i.e. a streak.

You must play each hand as if the previous hands have no effect on the hand you are playing.

Question 3

How many ways can you be dealt a specific unsuited hand, ex. AKo?

Answer 3

12

Question 4

How many ways can you be dealt a suited hand, ex. AKs?

Answer 4

4

Question 5

How many ways can you be dealt a specific pair, ex. QQ?

Answer 5

6

Question 6

How often will you be dealt AA?

Answer 6

Once every 221 hands.

Question 7

How often will you be dealt AK?

Answer 7

Once every 110.5 hands.

Question 8

How often will you be dealt AKs?

Answer 8

Once every 331.5 hands.

Question 9

How often will you be dealt a pair?

Answer 9

Once every 17 hands.

Question 10

When expressing odds, which side is the number of times an event will happen, vs the number of times it won’t happen, i.e. 4:1?

Answer 10

won’t happen : will happen

Question 11

What is probability?

Answer 11

Your chance of winning.

Question 12

What is the difference between odds and probability?

Answer 12

Odds measure the chance of losing while probability measures the chance of winning.

Question 13

How do you convert odds to probability?

Answer 13

Take the number on the left side of the odds and add it to the number on the right side of the odds, then divide the number on the right side of the odds by that number.

Odds = 4:1
4+1=5
1/5=.20
Proability = 20%

Question 14

If you have are dealt connected cards in the middle, how many ways can you make a straight?

Answer 14

4

Question 15

If you have are dealt cards with one gap between them, how many ways can you make a straight?

Answer 15

3

Question 16

If you have are dealt cards with two gaps between them, how many ways can you make a straight?

Answer 16

2

Question 17

What is the probability that nobody at the table has an ace? (6 handed and full table)

Answer 17

6 handed - 34%

full table - 13%

Question 18

If you have are dealt cards with three gaps between them, how many ways can you make a straight?

Answer 18

1

Question 19

At a full table, if you are dealt suited cards, what is the probability that one of your opponents also holds two cards of your same suit?

Answer 19

about 1/3

about 1/4 at a 6 handed table

Question 20

When you have suited cards and you’ve made a flush, at which point (what must your high card be) do you become a statistical favorite with the possibility of one of your opponents also having a flush?

Answer 20

Q high flush or better.*

*Of course, if one of the high cards are on board, then you can adjust. If a K is on board, then you become a statistical favorite with a J, etc.

Question 21

If you have suited hole cards, what is your chance of making a flush if played to the river?

Answer 21

6.5%

Question 22

If you have connected hole cards, what is your chance of making a straight if played to the river?

Answer 22

9%

Question 23

The value of suited versus unsuited increases the chance of you making a hand as much as _%

Answer 23

5

Question 24

If you have an Ace, what is the probability that none of your opponents have an ace? (6 handed and full table)

Answer 24

6 handed - 50%

full table - 25%

Question 25

If you have been dealt an ace, what are the chances that another opponent will have an ace (full table, 6 handed, heads up)?

Answer 25

Full table - approx. 73% 6 handed - 50% heads up - approx. 10%

Question 26

If you hold a pocket pair, how often will you flop a set?

Answer 26

12%

Question 27

If you hold two of a suit, how often will you flop a four flush or a flush?

Answer 27

12%