Alison has all her money invested in two mutual funds. A and B. She knows that there is a 30% chance that fund A will rise in price, and a 55% chance that fund B will rise in price given that fund A rises in price. What is the probability that both fund A and fund B will rise in price?

To calculate the probability that both fund A and fund B will rise in price, we need to use conditional probability. Let P(A) be the probability that fund A rises in price, and P(B|A) be the probability that fund B rises in price given that fund A rises in price. Then, the probability that both fund A and fund B will rise in price is given by P(A) * P(B|A).

From the problem, we know that P(A) = 0.30 and P(B|A) = 0.55. Therefore, the probability that both fund A and fund B will rise in price is 0.30 * 0.55 = 0.165, which is approximately 0.17.

Thus, the correct answer is D.