An insurance agent sells dental insurance, medical insurance, and life insurance. He checks sales since the beginning of the year and finds that he has sold 50 dental, 48 medical, and 28 life insurance policies. Some customers purchased more than one type: 22 bought both dental and medical, 18 bought both medical and life, 12 bought both dental and life, and 8 bought all three types. How many of these customers bought exactly one of the three types of insurance from the agent this year? Answer: Liza has a supply of blue paint and grey paint. She plans to paint each of the 6 rooms in her house with one of the two colours. She has enough grey paint to paint the entire house, but only enough blue paint for 4 rooms. In how many different ways can she paint the rooms of her house? For example, she may paint all the rooms grey, or she may paint half grey and half blue, etc. But she can't paint any more than 4 rooms blue. Answer: Suppose 3 cards are dealt from a well-shuffled standard deck of 52 cards. What is the probabily that at least one 7 will be dealt? Round your answer to 3 decimal places. Answer: