Final answer:
The probability of selecting one kitten of each coloring, one bump and one tail, from a group of 9 kittens, with 4 being tabby and 5 being black, is 5/9 or approximately 55.56%.
Step-by-step explanation:
Probability of Selecting One Bump and One Tail
Although the original question contains typos, it is asking for the probability of a certain event occurring when selecting two kittens with specific characteristics from a group of 9 kittens.
If we have 4 tabby kittens and 5 black kittens totaling 9, and we are to select 2 kittens randomly without replacement, the probability that one kitten of each coloring is selected is calculated as follows:
Selecting a tabby first and then a black has a probability of (4/9) × (5/8) because there are initially 4 possible tabby kittens out of 9, and then 5 black kittens out of the remaining 8.
Selecting a black first and then a tabby has a probability of (5/9) × (4/8) for similar reasons.
We add these probabilities together for the final probability of selecting one kitten of each color:
(4/9) × (5/8) + (5/9) × (4/8)
= (20/72) + (20/72)
= (40/72)
which simplifies to 5/9 or approximately 0.5556, which is a 55.56% chance.