Calculating odds

[odditie]

I'm working on an excel project and I'm struggling with what the correct math equation is for the following problem.

Here's a simplified version of what I'm trying to calculate.

I have the following cards in a deck:

A, A, A
B, B, B
C, C, C
D, D, D
E, E, E
F, F, F
G, G, G
H, H, H
I, I, I

I'm looking to be able to calculate the odds of each card type (A, B, C, etc) as the deck of cards is being depleted if I draw multiple cards.

Example: If earlier the following cards were drawn (A, BB, HHH, I), what are the odds for each card type that it'll be drawn when I draw 2 additional cards.

 

[tkhunny]

Clarify one thing.

If I have 4 items, DOG, CAT, FROG, and PIG, and I randomly draw one item from this pile of things:
1) The ODDS of drawing DOG are 1:3 (Which may be expressed at 1/3 = 0.333... = 33.333%, but that may be misleading).
2) The PROBABILITY of drawing DOG is 1/4 = 0.25 = 25%

Are you SURE you're using the right language and communicating your actual question?

Okay, now ask your question again.

 

[Dr.Peterson]

The probability (which is not the same as odds) of drawing a particular card type on one draw is the number of that type remaining in the deck, over the total number of cards remaining.

Now, is your question about the probability that at least one of the two next cards you draw (without replacement) is a given type?

If it really is odds you want, you can deal with that later. Probability is easier to work with.

 

[odditie]

I’m sorry, I still am not 100% sure which I’m asking so I’ll rephrase without using either probability or odds.

Based on the card set above, if I draw 3 cards, what percentage chance do I have of drawing one or more of each type of card. All 3 cards are revealed at the same time.

 

[Dr.Peterson]

"Percentage chance" would mean probability, so that's good.

But this is an entirely different question, and it's still not clear.

Since there are more than three types of cards, clearly you don't really mean "drawing one or more of each type of card". I'm guessing what you mean is, "drawing at least one of a specified type of card, among 3 that are drawn at once". Are you assuming you are starting with the full deck, or is it still supposed that you know what cards have been taken previously?

Probability questions are hard to state clearly, and to interpret, so this process of clarifying your question is not unusual!