In a large doll store, 47% of the dolls blink, 56% of the dolls have movable legs and arms, and 23% of the dolls neither blink nor have movable limbs. Find the probability that a doll chosen at random will both blink and have movable limb.

5. Suppose that 40% of cars in your area are manufactured in the United States, 30% in Japan, 10% in Germany, and 20% in other countries. If cars are selected at random, find the probability that:

(a) A car is not from other countries.

(b) It is made in Japan or other countries

.

(c) You see five in a row from U.S.

(d) The first Japanese car is the fourth one you choose.

A high school principal is putting together a committee of 8 teachers to head up the spring festival.

There are 7 9 th -grade, 5 10th -grade, 6 11th -grade, and 6 12th -grade teachers at the school.

(a) In how many ways can the committee be formed?

(b) In how many ways can the committee be formed if there must be 2 teachers chosen from each grade