Poker Maths Flashcards
My limp of $2 behind is raised. Pot is $37. V has bet $14 and has $186 left. Call with 77?
Implied odds are implied reward + direct reward + risk / risk = 186+37+12=235/12=~20/1
My limp of $2 behind is raised. Pot is $49. V has bet $26 and has $174 left. Call with 77?
Implied odds are implied reward + direct reward + risk / risk = 174+49+24=247/24=~10/1
If you bet pot (eg 100 into 100) with a perfectly polarised range what ratio of premium hands to bluffs do you need?
If you bet pot (eg 100 into 100) with a perfectly polarised range you need a 2:1 ratio of premium hands to bluffs, ie bluffs make up (1 in 3) 33% of your betting range. You are giving them pot odds of 33%. Their BE is 100 to win 200+their 100 = 100/300. So they will win 33% of the time. This will make your opp indifferent to calling.
If you bet 2/3 pot (eg 20 into 30) with a perfectly polarised range what ratio of premium hands to bluffs do you need?
If you bet 2/3 pot (eg 20 into 30) with a perfectly polarised range you need a 7:3 ratio of premium hands to bluffs, ie bluffs make up (3 in 10) 30% of your betting range. You are giving them pot odds of 33%. Their BE is 20 to win 50+their 20 = 20/70. So they will win ~30% of the time. This will make your opp indifferent to calling.
If you bet 1/3 pot (eg 10 into 30) with a perfectly polarised range what ratio of premium hands to bluffs do you need?
If you bet 1/3 pot (eg 10 into 30) with a perfectly polarised range you need a 4:1 ratio of premium hands to bluffs, ie bluffs make up (1 in 5) 20% of your betting range. You are giving them pot odds of 20%. Their BE is 10 to win 40+their 10 = 10/50. So they will win 20% of the time. This will make your opp indifferent to calling.
If you bet 1/2 pot (eg 10 into 20) with a perfectly polarised range what ratio of premium hands to bluffs do you need?
If you bet 1/2 pot (eg 10 into 20) with a perfectly polarised range you need a 3:1 ratio of premium hands to bluffs, ie bluffs make up (1 in 4) 25% of your betting range. You are giving them pot odds of 20%. Their BE is 10 to win 30+their 10 = 10/40. So they will win 25% of the time. This will make your opp indifferent to calling.
If you bet 2x pot (eg 200 into 100) with a perfectly polarised range what ratio of premium hands to bluffs do you need?
If you bet 2x pot (eg 200 into 100) with a perfectly polarised range you need a 3:2 ratio of premium hands to bluffs, ie bluffs make up (2 in 5) 40% of your betting range. You are giving them pot odds of 40%. Their BE is 200 to win 300+their 200 = 200/500. So they will win 40% of the time. This will make your opp indifferent to calling.
