To calculate the overall probability of getting the desired card in each round, we'll approach this by computing the chance of not getting the card in each round and then using that to find the chance of getting it.

For each round:

1. First round: Probability of not getting the card = $1 - \frac{3}{11} = \frac{8}{11}$.

   • Probability of getting the card = $\frac{3}{11}$.

2. Second round: Probability of not getting the card = $1 - \frac{2}{18} = \frac{16}{18} = \frac{8}{9}$.

   • Probability of getting the card = $\frac{2}{18} = \frac{1}{9}$.

3. Third round: Probability of not getting the card = $1 - \frac{1}{17} = \frac{16}{17}$.

   • Probability of getting the card = $\frac{1}{17}$.

Overall odds of getting the card in each round:

1. First round: $\frac{3}{11}$
2. Second round: $\frac{1}{9}$
3. Third round: $\frac{1}{17}$

These are the individual probabilities of drawing the desired card in each respective round.

Would you like to explore this in more detail or combine these odds in a specific way?

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Related questions:

1. How do we calculate the probability of getting the card across multiple rounds?
2. What is the probability of not getting the card in all three rounds?
3. How do probabilities change if more cards are added in each round?
4. How can these odds be applied in games of chance or card games?
5. Can you explain the difference between independent and dependent events in probability?

Tip: When calculating odds, always start by determining the probability of the event not happening first, then subtract from 1 to get the odds of the event happening.