Finite Math: Probability

Question

The House of Representatives consists of 435 members. They considered two bills. 325 members voted yes on bill A. 250 members voted yes on bill B. 170 members voted yes on both bills.

(a) How many members voted yes on bill A but did not vote yes on bill B?

(b) How many members did not vote yes on either bill?

Answer 1

435 members exist

2 bills exist

325 members voted Y on bill A

250 members voted Y on bill B

170 members voted Y on bill A and bill B

a) 325 members - 170 members = 154 members voted yes on bill A but no on bill B

b) (435 - 170) = 265 members did not vote yes on either bill.