Final answer:
The probability of both events occurring is 0.3456.
Step-by-step explanation:
To find the probability of both events occurring, we can use the multiplication rule for independent events. According to this rule, the probability of two independent events occurring is equal to the product of their individual probabilities. So, the probability of both events occurring is P(A AND B) = P(A) * P(B) = 0.54 * 0.64 = 0.3456.