Question

A new gourmet restaurant offers a choice of 4 main courses and 3 desserts. If you randomly choose a main course and a dessert, what is the probability of choosing the chef’s favorite main course and dessert?

a) 1/12
b) 1/6
c) 1/8
d) 1/10

Answer 1

The probability of choosing the chef's favorite main course and dessert at the new gourmet restaurant is 1/12, calculated by multiplying the probability of selecting the favorite main course (1/4) by the probability of the favorite dessert (1/3).

Step-by-step explanation:

The student is asking a question related to the concept of probability. In this particular scenario, the restaurant offers 4 main courses and 3 desserts, and the question asks for the probability of selecting the chef's favorite main course and dessert. Since the probability of choosing any one of the main courses randomly is 1/4 and the probability of choosing any one of the desserts randomly is 1/3, the probability of choosing both the chef's favorite main course and dessert is the product of these two individual probabilities.

The calculation is as follows:

• Probability of choosing chef's favorite main course: 1/4
• Probability of choosing chef's favorite dessert: 1/3
• Combined probability: (1/4) * (1/3) = 1/12

Therefore, the correct answer is a) 1/12.