26 Gasoline Mileage for Autos and Trucks – Of the top 10 cars and trucks based on gas mileage, 4 are Hondas, 3 are Toyotas, and 3 are Volkswagens. Choose one at random. Find the probability that it is Japanese, Japanses or German or not foreigh.
Well, it seems like we have quite the multicultural mix of cars here! Let's break it down:
Out of the top 10 cars and trucks based on gas mileage, we have:
- 4 Hondas
- 3 Toyotas
- 3 Volkswagens
To find the probability of choosing a Japanese car, we add up the number of Hondas and Toyotas: 4 + 3 = 7.
To find the probability of choosing a German car, we look at the number of Volkswagens: 3.
Now, to find the probability of choosing either a Japanese or German car, we add those numbers together: 7 + 3 = 10.
Lastly, if we want to find the probability of choosing a car that is either Japanese, German, or not foreign, well, all the cars in this scenario are either Japanese, German, or not foreign because they are all from those three categories. So the probability would be 1.
So, in this case, the probability of choosing a car that is either Japanese, German, or not foreign is 1.
To find the probability, we need to determine the number of favorable outcomes (the number of cars/trucks that are Japanese or German or not foreign) and the total number of possible outcomes (the total number of cars/trucks in the top 10 list).
From the given information, we know that there are 4 Hondas, 3 Toyotas, and 3 Volkswagens in the top 10 list. Therefore, there are a total of 10 cars/trucks in the list.
Now, let's calculate the probability separately for each condition: Japanese, German, and not foreign.
1. Probability that the chosen car/truck is Japanese:
Out of the top 10 cars/trucks, we have a total of 4 Hondas and 3 Toyotas, which gives us a total of 4 + 3 = 7 Japanese cars/trucks.
P(Japanese) = Number of Japanese cars/trucks / Total number of cars/trucks
= 7 / 10
= 0.7
2. Probability that the chosen car/truck is German:
From the information provided, we do not have any specific mention of German cars. Therefore, there are 0 German cars/trucks in the list.
P(German) = 0 / 10
= 0
3. Probability that the chosen car/truck is not foreign:
To find the probability of the chosen car/truck being not foreign, we need to consider all the cars/trucks in the list that are not Hondas, Toyotas, or Volkswagens, i.e., the remaining 10 - (4 + 3 + 3) = 10 - 10 = 0 cars/trucks.
P(Not foreign) = 0 / 10
= 0
To find the probability that the chosen car/truck is Japanese, German, or not foreign, we can add the individual probabilities:
P(Japanese or German or not foreign) = P(Japanese) + P(German) + P(Not foreign)
= 0.7 + 0 + 0
= 0.7
Therefore, the probability that a randomly chosen car/truck from the top 10 list is Japanese, German, or not foreign is 0.7 or 70%.