Final answer:
The probability of selecting one ball of each color from the given box is 2/7.
Step-by-step explanation:
To find the probability of selecting one ball of each color from the given box, we need to calculate the probability of selecting a red ball, a yellow ball, and a blue ball.
There are 4 red balls and 3 yellow balls in the box. So, the probability of selecting a red ball on the first draw is 4/7.
After the first draw, there are 3 red balls and 3 yellow balls left. So, the probability of selecting a yellow ball on the second draw is 3/6.
Finally, after the second draw, there are 2 red balls, 2 yellow balls, and 4 blue balls left. So, the probability of selecting a blue ball on the third draw is 4/8.
To calculate the overall probability, we multiply the individual probabilities: (4/7) * (3/6) * (4/8) = 2/7.