Find the probability that:
she chooses soup, fish and lemon tart
Soup would be 1/2
Fish would be 1/3
Lemon tart would be 1/3
Picking all 3: 1/2 x 1/3 x 1/3 = 1/18
she chooses all three courses
Total food choices = 2 + 3 +3 = 8
Picking entree = 2/8 = 1/4
Picking main course = 3/7
Picking desert = 3/6 = 1/2
Total probability: 1/4 x 3/7 x 1/2 = 3/56
Picking just the main course = 3/8