I used to have a conversation similar to this with my DW every time I took off on a climbing, canyoneering or solo backpacking trip. I always told her that she was more likely to get in trouble on the local speedw.... er, freeway than I was in the backcountry of AZ, UT, etc.

Every time a hiker gets in trouble it makes the national news & yet auto accidents kill folks in droves.
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"There is not a man of us who does not at times need a helping hand to be stretched out to him, and then shame upon him who will not stretch out the helping hand to his brother." -Theodore Roosevelt