1) A human gene carries a certain disease from the mother to the child with a probability rate of 40%. That is, there is a 40% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that at least one of the children get the disease from their mother.

2) After completing an inventory of three warehouses, a golf club shaft manufacturer described its stock of 12,246 shafts with the percentages given in the table. Suppose a shaft is selected at random from the 12,246 currently in stock, and the warehouse number and type of shaft are observed. Find the probability that the shaft was produced in a warehouse other than warehouse 1.

Type of Shaft

		Regular	Stiff	Extra Stiff
Warehouse	1	19%	8%	9%
2	14%	20%	5%
3	7%	18%	0%