Suppose car models a, b, and c are popular among drivers. suppose 12% of the drivers own model a car, 30% own model b, 26% own model c, 3% own all three models, 5% own models a and b, 12% own models b and c, and 9% own models c and a. what proportion of the drivers do not have any of these three car models (round off to second decimal place)?

0.55

Step-by-step explanation:

Let 100 be the number of all car owners.

12% of the drivers own model A car, then 12 drivers own car A; 30% own model B, then 30 drivers own car B; 26% own model C, then 26 drivers own car C; 3% own all three models, then 3 drivers own all 3 cars; 5% own models A and B, then 5 drivers own cars A and B; 12% own models B and C, then 12 own cars B and C; 9% own models C and A, then 9 drivers own cars A and C.

Now,

3 drivers own all three cars;5 - 3 = 2 drivers own only cars A and B;12 - 3 = 9 drivers own only cars B and C;9 - 3 = 6 drivers own only cars A and C;12 - 3 - 2 - 6 = 1 driver owns only car A;30 - 3 - 2 - 9 = 16 drivers own only car B;26 - 3 - 9 - 6 = 8 drivers own only car C.

In total, there are

3 + 2 + 9 + 6 + 1 + 16 + 8 = 45 dirvers own cars A, B or C.

Thus, of drivers own cars A, B or C and do not own cars A, B, C.