An insurance company has four different types of product: life insurance, health insurance, indexed annuity and variable annuity. Mr. White is an agent for the insurance company. The probability that Mr. White successfully sells a life insurance product in a week is 0.35. The probability that Mr. White successfully sells a health insurance product in a week is 0.45. The probability that Mr. White successfully sells an indexed annuity product in a week is 0.30. The probability that Mr. White successfully sells a variable annuity product in a week is 0.20.

Assuming the events in which Mr. White sells a product type are mutually independent, what is the probability that Mr. White successfully sells more than two types of products in a week?