Final answer:
To address the probabilities regarding selecting kittens based on their color, one needs to know the total number of kittens and the number of each coloring. Calculations involve multiplying the probabilities of each sequential choice, adjusting for each selection made. If we know the initial number of tabby and black kittens, we can compute each probability scenario accordingly.
Step-by-step explanation:
The question is asking about the probability of certain outcomes when selecting kittens from a group, with specific emphasis on their coloring. Consider a scenario where we have a number of tabby and black kittens, and we want to calculate the probability of selecting them in different combinations.
Probability of Selecting Two Tabby Kittens
To calculate the probability that both kittens selected are tabby, we would need to know the total number of kittens and how many of them are tabbies. For example, if we had a total of 10 kittens, and 4 of those were tabbies, the probability of selecting one tabby would be 4/10. If we take one tabby out (assuming we don't replace it), we now have 3 tabbies out of a total of 9 kittens left, making the probability of selecting another tabby 3/9. Thus, the overall probability of selecting two tabby kittens would be (4/10) * (3/9).
Probability of Selecting One Kitten of Each Coloring
The probability of selecting one kitten of each coloring follows a similar process. If the first kitten selected is tabby, the second kitten will have to be black (and vice versa) to meet the condition. If a tabby is selected first, the probability, in the previous example, would be 4/10 for the tabby and then, assuming there are 6 black kittens, 6/9 for the black kitten, giving us a combined probability of (4/10) * (6/9).
Probability of Selecting a Tabby after a Black Kitten
If a black kitten was selected first, we've effectively removed one black kitten from the pool, changing the total number of kittens and possibly the ratio of remaining tabby to black kittens. The specific probability would depend on the new totals. For instance, if we initially had 4 tabby and 6 black kittens, after taking one black kitten, we'd have 4 tabby and 5 black kittens remaining. So, the probability of then drawing a tabby would be 4/9.
Probability of Choosing Two Kittens of the Same Color
The probability of choosing two kittens of the same color can be found by adding the probability of selecting two tabby kittens to the probability of selecting two black kittens. This can be calculated separately as done for the tabby kittens and then added together for the final probability.