In a survey of cars,it was found DAT 75% were old,65% were small nd 50% had been involved in an accident.8% were accident free large old cars,20% were accident free small new cars, 7% were accident free small old cars,6% were new small cars which had an accident what % were A) old small cars had a accident B)new large cars which are accident free C) new large cars had an accident D) old large cars which had an accident.HINTS= rep d information in a Venn diagram

show step plz

You have to do this with a Venn diagram, which I can not really draw here but using that you should be able to figure it out.

To solve this problem, we can use a Venn diagram to represent the different groups of cars based on their characteristics. Here's how you can construct the Venn diagram step by step:

Step 1: Draw three overlapping circles to represent the three groups: old cars, small cars, and cars involved in an accident.

Step 2: Label the circles. Let's label the circle for old cars as 'O', the circle for small cars as 'S', and the circle for cars involved in an accident as 'A'.

Step 3: Fill in the known percentages in the Venn diagram. Based on the given information, we know that 75% of cars are old, 65% are small, and 50% have been involved in an accident. So, in the 'O' circle, write 75, in the 'S' circle, write 65, and in the 'A' circle, write 50.

Step 4: Fill in the overlapping areas using the given information. From the question, we know that 8% of the cars are accident-free large old cars, 20% are accident-free small new cars, 7% are accident-free small old cars, and 6% are new small cars involved in an accident.

- To represent the 8% accident-free large old cars, shade the overlapping region between 'O' and 'A' circles.
- To represent the 20% accident-free small new cars, shade the overlapping region between 'S' and 'A' circles.
- To represent the 7% accident-free small old cars, shade the overlapping region among the three circles.
- To represent the 6% new small cars involved in an accident, shade the overlapping region between 'S' and 'A' circles.

Step 5: Now, we can determine the percentages for the remaining areas in the Venn diagram:

A) Old small cars that had an accident: To find this percentage, add up the percentages of the overlapping sections between 'O,' 'S,' and 'A' circles.

B) New large cars that are accident-free: To find this percentage, subtract the percentages of the overlapping sections between 'O,' 'S,' and 'A' circles from the 'O' circle.

C) New large cars that had an accident: To find this percentage, subtract the percentages of the overlapping sections between 'O,' 'S,' and 'A' circles from the 'S' circle.

D) Old large cars that had an accident: To find this percentage, subtract the percentages of the overlapping sections between 'O,' 'S,' and 'A' circles from the 'A' circle.

Using the Venn diagram, you can now calculate the percentages for each part.