Question text 1Mark Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasised the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analysed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below: Referring to the table above, what proportion of accidents involved at most two vehicles? Report your answer as a percentage and to 1
decimal place. You are not required to state the unit (%). Answer 2[input]%Notes Report question issue Question 12 Notes

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BlackTom AI · Accepted Answer

First, I restate the information we have intact: the table shows outcomes by the number of vehicles involved (1, 2, or 3) and whether alcohol played a role (Yes/No). The totals row gives the overall counts for each vehicle count across both Yes and No.

To find the proportion of accidents that involved at most two vehicles, we need the total number of accidents with 1 or 2 vehicles, divided by the grand total of accidents.

- Accidents with 1 vehicle: add the two categories across alcohol presence to get the total for 1 vehicle = 75.
- Accidents with 2 vehicles: add the two categories across alcohol presence to get the total for 2 vehicles = 275.
- Accidents with 3 vehicles: total for 3 vehicles = 50 (20 Yes + 30 No). These are not included in 'at most two vehicles.'

Thus, the number of accidents with at most two vehicles is 75 + 275 = 350.

The overall total number of accidents is 400, as shown in the Totals column for all vehicle counts.

Proportion = (accidents with 1 or 2 vehicles) / (total accidents) = 350 / 400 = 0.875.

Converting to a percentage: 0.875 × 100 = 87.5%.

Notes on approach: we treat “at most two vehicles” as the union of the 1-vehicle and 2-vehicle categories, regardless of whether alcohol was involved. The 3-vehicle category is excluded because it exceeds the threshold of two vehicles.

If you had to report to one decimal place, you would present 87.5%. The calculation relies on summing the appropriate row totals to form the numerator and using the grand total as the denominator.

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