I currently have this question..

A survey was conducted that found 72% of respondents liked the new motorway. Of all respondents, 65% intend to drive more. Suppose that 81% of those who like the new motorway intend to drive more.

I get rather confused with how the 65% and 81% intertwine. I assume I'm working backwards to find out the percentage of those who don't like the new motorway but intend to drive more.

Let l = like, d = drive..

pr(l) = 0.72, pr(l') = 0.28

Would I be right in claiming that pr(d) = 0.65 therefore pr(d/l) = 0.65/0.72 ?

A survey was conducted that found 72% of respondents liked the new motorway. Of all respondents, 65% intend to drive more. Suppose that 81% of those who like the new motorway intend to drive more.

I get rather confused with how the 65% and 81% intertwine. I assume I'm working backwards to find out the percentage of those who don't like the new motorway but intend to drive more.

Let l = like, d = drive..

pr(l) = 0.72, pr(l') = 0.28

Would I be right in claiming that pr(d) = 0.65 therefore pr(d/l) = 0.65/0.72 ?