Respuesta :
Answer:
D:2/5
Step-by-step explanation:
There are 4 vegetables to choose from; 2 broccoli and 2 carrots.
This is out of 10 covered dishes.
This gives the probability 4/10, which simplifies to 2/5.
Answer : The correct option is, (D) [tex]\frac{2}{5}[/tex]
Step-by-step explanation :
Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]
Total favorable outcomes are, 2 broccoli, 2 cake, 2 carrot, 1 chicken, 2 fish, and 1 meat loaf = 10
Favorable outcomes of choosing a vegetable are, 2 broccoli and 2 carrot
Number of favorable outcomes of choosing a vegetable = 4
Total number of outcomes = 10
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}[/tex]
[tex]\text{Probability}=\frac{4}{10}[/tex]
[tex]\text{Probability}=\frac{2}{5}[/tex]
Therefore, the probability of choosing a vegetable is, [tex]\frac{2}{5}[/tex]