Question

Three hundred ninety people were surveyed as they left the FSU- Virginia basketball game at the Tucker Center. The results were as follows: 195 attended the FSU-Marist game (M) 150 attended the FSU-Butler game (B) 155 attended the FSU-NC State game (NCS) 70 attended the Marist game and the NC State game 45 attended the NC State game and the Butler game 50 attended the Butler game and the Marist game 15 attended all three of the games Sketch a Venn diagram and answer the questions below. NCS 1. How many attended only the FSU-Butler game? AD 2. How many did not attend the Marist, Butler, or North Carolina State games? 85 3. How many attended at least two of these games? 165 4. How many attended the Marist and Butler games, but not the North Carolina State game? 395 5. How many attended the North Carolina State or the Butler game?

Answer 1

1) 70

2) 40

3) 120

4)195

5)260

15 attended all games so MABANCS =15 MnB = 50 the total region of min is 50 but 15 is present in mn Bancs. So umber for region that contain 35 m and B with out all three is 50-15= Similiary m and Ncs without MoBnnes is 70-15 = 55 B and Ncs without MOBINES is 45-15=30 Monly = 195-55-35-15 = 90 B only = 150-30-35 - 15 = 60 70 Nis only = 155 -30-55-15 = 55 PL

390 135 55 30 55 40 NCS 1) only fsu Butter game = 70 2) How many dint attent any game. number outside corde represent this 40 3) Atleast two of this is sum of region overlaping talo game. 35+30+55 = 120 4) M without wes game is required region 70+90+35 200 as 195 5) North Carolena or NCS state gone is Sum of all region berongs to B and Nes 55+55 +15+30 +35+ 70-260