Correct Answer: 110/129
Explanation:
Total number of possible ways =
9 C 5 = 9 x 8 x 7 x 6 x 5 5 x 4 x 3 x 2 x 1 = 126
Number of favorable cases =
4 C 2 x 5 C 3 + 4 C 3 x 5 C 2 + 4 C 4 x 5 C 1 4 x 3 2 x 1 x 5 x 4 x 3 3 x 2 x 1 + 4 x 3 x 2 3 x 2 x 1 x 5 x 4 2 x 1 + 1 x 5 = 6 x 10 + 4 x 10 + 5 = 60 + 40 + 5 = 105
Therefore, required probability = 105/126 = 5/6