Hi I having trouble with this question: The following table summarizes the availability of trucks with air bags and bucket seats at a dealership. What is the probability of randomly selecting a truck with air bags and bucket seats?
The way i approached this question since its dependent probability using the multiplication rule:
P(Airbag and Bucket seat) = P(Airbags | Bucket) * P(Bucket) --> 75/220 * 110/220 --> 0.34*0.5 =0.17
but the answer is 0.34 can someone explain where i went wrong with the formula?
Thank you
An easier way to do it is to note that there are 75 cars with air bags and bucket seats out of 220 cars total, so the probability is 75/220. There’s no need for conditional probability here; they’ve given you the numbers.
question is asking about trucks with airbags and bucket seat. total truck 220 and no of trucks with air bags n bucket seat = 75. according to me it will be 75/220=.34
Greetings friend! In your chart it shows 75 trucks with air bags and bucket seats, and it shows 220 total trucks. So there will be 75/220 availability of such specific trucks. That is where they got 34%. If you just randomly picked a truck out of the 220 total number, there is a 34% chance it would be that type of truck.
