JCSeerup - thanks for the corrections. Except your first suggestion of a correction, we'll just owe to a culture difference. Your second point, I think it should be shown explicitly how the $0.4 is calculated. I don't think it's that obvious with your notation to readers not familiar with the comma notation for decimal numbers.

Here is a complete rewrite with the corrections I've made.

Stage 1:

Your normal poker game: Texas Hold 'em $1/$2 Limit

Average play per day: 500 hands

Average play per month: 15000 hands

You decide you want some lessons, that costs you $50 per month.

Coach observes your games, and she says hey, start playing this way, and it could improve your game by .2 BB/100hands.

**Start of Note:**

The meaning of .2 BB/100 hands is:

.2 = $0.2 (or whatever currency you're playing in)

BB = $2 (the $2 in $1/$2)

/100hands = per 100 hands

**End of Note**

So putting all that together it means, per 100 hands, your coach has spotted an action in your game that is costing you $0.2 multiplied by $2.

$0.2 x 2 = $0.4

Understand Stage 1 before moving on to Stage 2.

Stage 2:

Now the key question is, has the observation by your coach made the investment of coaching (remember, that cost you $50 per month) profitable for you?

Well yes, because if we do the math:

Recall, per 100 hands, we can now gain $0.4 as you were losing $0.4 per 100 hands and you now know where a fault in your game was. Remember, how many hands are we playing per month on average?

15000, right? (See the beginning to check)

How many 100 hands are there in 15000 hands? 15000 / 100 = 150. (Really understand this bit)

Taking 150 multiplying by $0.4, type in a calculator and what do you get?

You should get 60, which means $60.

Understand this before moving on to the final part.

Stage 3:

So to summarise, coaching per month has cost you $50 per month, but as a result you have the potential to gain $60 per month. So how much profit have you made?

Gained from Coaching advice - Coaching Cost = Profit

$60 - $50 = $10

Lastly, there is a statement in the paragraph that says: "you'll make a profit of 5BB from the coaching"

Well how many BB's are in $10? I'll leave you to work that out : - )