Correct option is C
Given:
A meal is prepared by selecting one item from each category: starter, main course, and dessert.
We need to calculate the probability that the selected meal is vegetarian.
Step 1: Total possible meal combinations
Starters: 3 options (Tomato Soup, Vegetable Salad, Chicken Soup)
Main Course: 3 options (Chicken Biryani, Fish Biryani, Veg Biryani)
Desserts: 2 options (Gulabjamun, Rasagulla)
Total meal combinations = 3 × 3 × 2 = 18
Step 2: Vegetarian combinations
A vegetarian meal consists of a vegetarian starter, veg biryani as the main course, and any dessert.
Vegetarian starter options:
Tomato Soup
Vegetable Salad
Count: 2
Vegetarian main course options:
Veg Biryani
Count: 1
Dessert options:
Gulabjamun
Rasagulla
Count: 2
Total vegetarian combinations = (2 vegetarian starters)×(1 vegetarian main course)×(2 desserts) = 4
Step 3: Probability of a vegetarian meal
Probability = (Number of vegetarian combinations) / (Total combinations)
= 4 / 18
= 2 / 9
Answer:
The probability that a randomly drawn menu is vegetarian is 2/9.
