Respuesta :
Answer:
18%
Step-by-step explanation:
To find the probability that the order from a randomly chosen table includes a glass of milk, we need to consider two scenarios: tables with children and tables without children.
1. At a sit-down restaurant, 40% of the tables have children at them. This means that if we randomly choose a table, there is a 40% chance that it will have children, and a 60% chance that it won't have children.
2. Amongst the tables with children, 30% of the orders include a glass of milk. This means that if we choose a table with children, there is a 30% chance that the order will include a glass of milk.
3. Amongst the tables without children, only 10% of the orders include a glass of milk. This means that if we choose a table without children, there is a 10% chance that the order will include a glass of milk.
- Probability of choosing a table with children: 40%
- Probability of the order including a glass of milk at a table with children: 30%
- Probability of choosing a table without children: 60%
- Probability of the order including a glass of milk at a table without children: 10%
To calculate the probability of the order including a glass of milk, we can use the law of total probability:
P(order includes milk) = P(table with children) * P(order includes milk at a table with children) + P(table without children) * P(order includes milk at a table without children)
P(order includes milk) = 0.40 * 0.30 + 0.60 * 0.10
P(order includes milk) = 0.12 + 0.06
P(order includes milk) = 0.18
Therefore, the probability that the order from a randomly chosen table at this restaurant includes a glass of milk is 0.18, or 18%.
