The following diagram shows an archery target which is divided into three regions A, B and C. А B с A contest consists of an archer shooting one arrow at the target. The probability of hitting each region is given in the following table. Region A B Probability 4 24 7 24 24 (a) Find the probability that the arrow does not hit the target. An archer scores points on the contest as shown in the following table. Region А B С . Outside Target Points 10 6

(b) Given that the contest is fair, find the value of k.