A Thai restaurant offers the curry special: curry vegetables with your choice of beef, chicken tofu or shrimp. Choose yellow curry, green curry or red curry. Drink included: tea or soda. If a customer makes all choices randomly, what is the probability that she orders a yellow or green tofu curry with tea?
number of total choices = 3 x 3 x 2 = 18
number of choices with yellow or green tofu and tea = 3 x 2 x 1 = 6
prob(stated event) = 6/18 = 1/3
To find the probability of a customer ordering a yellow or green tofu curry with tea, we need to first calculate the total number of possible combinations and then determine the favorable outcomes.
Choices:
1. Type of curry: Yellow, green, or red (3 choices).
2. Type of protein: Beef, chicken, tofu, or shrimp (4 choices).
3. Choice of drink: Tea or soda (2 choices).
Since the customer is making random choices, each choice is equally likely. Therefore, the total number of possible combinations can be calculated by multiplying the number of choices for each option:
Total number of combinations = 3 (curry choices) × 4 (protein choices) × 2 (drink choices) = 24 combinations.
Now, let's determine the favorable outcomes for the customer ordering a yellow or green tofu curry with tea:
- Curry choices: The customer needs to choose either yellow or green curry. So, there are 2 favorable outcomes for the curry choice.
- Protein choice: The customer needs to choose tofu. Since tofu is the only favorable choice here, there is 1 favorable outcome for the protein choice.
- Drink choice: The customer needs to choose tea. Since tea is the only favorable choice here, there is 1 favorable outcome for the drink choice.
The total number of favorable outcomes is 2 (curry choices) × 1 (tofu choice) × 1 (drink choice) = 2.
Therefore, the probability of the customer ordering a yellow or green tofu curry with tea is:
Probability = (Number of favorable outcomes) / (Total number of possible combinations)
= 2 / 24
= 1 / 12
So, the probability that the customer orders a yellow or green tofu curry with tea is 1/12.