Chapter 6.1, Problem 10E

Automobiles An experiment consists of selecting a car at random from a college parking lot and observing the color and make. Let E be the event “the car is red,” F be the event “the car is a Chevrolet,” G be the event “the car is a green Ford,” and H be the event “the car is black or a Chrysler.”

a. Which of the following pairs of events are mutually exclusive?

(i)E and F

(ii)E and G

(iii)F and G

(iv)E and H

(v)F and H

(vi)G and H

(vii)E′' and G

(viii)F′' and H′'

b. Describe each of the following events:

(i) $E\cap F$

(ii) $E\cap F$

(iii)E′'

(iv)F′'

(v)G′'

(vi)H′'

(vii) $E\cup G$

(viii) $E\cap G$

(ix) $E\cap H$

(x) $E\cup H$

(xi) $G\cap H$

(xii) $E\prime \cap F\prime$

(xiii) $E\prime \cup G\prime$