Answer: 1/6.
Step-by-step explanation: The probability of rolling a 4 or 6 on a number cube with numbers 1-6 is 2/6 or 1/3. The probability of the spinner landing on a square or circle when it has four equal sections is 2/4 or 1/2. Since the two events are independent, the probability of both events happening is the product of their individual probabilities. Therefore, the probability that Veronica will roll a 4 or 6 and the spinner will land on a square or circle is (1/3) * (1/2) = 1/6.