The first step that we must take before attempting to solve a problem is to understand what the problem statement is asking from us and what is given to us to help accomplish that goal. Looking at the problem statement, it asks us what the probability of choosing a vegetable is. We are given information about how many dishes of each type of food there is out of 10 dishes.
The next step that we need to do is to collect the total amount of vegetable dishes that have been listed in the problem statement along with the total amount of dishes. We know that there are 10 covered dishes and that there are 2 broccoli and 2 carrot which adds up to 4 vegetable dishes.
Now that we have that information we can move onto the final part which is to determine the probability of choosing a vegetable dish. We can do this by dividing the total amount of vegetable dishes from the total amount of dishes.
Determine the probability
Therefore, looking at the options that best matches the answer that we got we can confidentially say that it is option A, 2/5.