Answer: Our required probability is
![(29)/(40)](https://img.qammunity.org/2020/formulas/mathematics/college/zt0gs8dvkp1pacqjnmcbwg37dltnbvh4f7.png)
Explanation:
Since we have given that
Number of foreign models = 38
Number of compact models = 50
Number of foreign compact model = 22
Total number of cars = 80
Probability that consumer will win foreign compact models is given by
![(22)/(80)=(11)/(40)](https://img.qammunity.org/2020/formulas/mathematics/college/e0ri55kv446n8wvsvc8wfjv0xuz3l9mkes.png)
so, Probability that consumer will win non foreign compact models is given by
![1-(11)/(40)\\\\=(40-11)/(40)\\\\=(29)/(40)](https://img.qammunity.org/2020/formulas/mathematics/college/q5o20s1j7e2fqgjbok3h4q84fv5cq3hm8f.png)
Hence, our required probability is
![(29)/(40)](https://img.qammunity.org/2020/formulas/mathematics/college/zt0gs8dvkp1pacqjnmcbwg37dltnbvh4f7.png)