Final answer:
The probability of Jane drawing a blue cube on her next draw after not replacing the first blue cube is 1/2.
Step-by-step explanation:
To find the probability of drawing a blue cube on Jane's next draw after not replacing the first blue cube, we need to consider the number of blue cubes and the total number of cubes remaining in the bag.
Initially, there are 4 blue cubes and 3 white cubes, so a total of 7 cubes. After Jane draws one blue cube, there are 3 blue cubes and still 3 white cubes, making a total of 6 cubes.
The probability of drawing a blue cube on the next draw is the number of favorable outcomes (number of blue cubes) divided by the number of possible outcomes (total number of cubes). So the probability is 3/6, which simplifies to 1/2.