A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun. The survey yielded the following results for the 1000 households that responded.
269 own a hand gun.
433 own a rifle.
497 supported the ban on hand guns.
138 own both a hand gun and a rifle.
200 own a rifle but no hand gun and do not support the ban on hand guns.
76 own a hand gun and support the ban on hand guns.
50 own both a hand gun and a rifle and also support the ban on hand guns.
How many of the surveyed households:
(a) do not own a gun and support the ban on hand guns?
(b) do not own a gun and do not support the ban on hand guns?
269 own a hand gun.
433 own a rifle.
497 supported the ban on hand guns.
138 own both a hand gun and a rifle.
200 own a rifle but no hand gun and do not support the ban on hand guns.
76 own a hand gun and support the ban on hand guns.
50 own both a hand gun and a rifle and also support the ban on hand guns.
How many of the surveyed households:
(a) do not own a gun and support the ban on hand guns?
(b) do not own a gun and do not support the ban on hand guns?