Pretty slim in the US or most of Europe and Asia. If you are in Africa or the Middle East you would have a significantly higher risk. Still relatively small though, you're much more likely to die in a car acccident than from a random gunman.
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Russian Roulette is fatal. If say you used a six barrel gun (a revolver for example) with one bullet, you would have a one in six chance at being shot! That's about 17% of the time, and the odds raise higher if you insert more bullets!
Take everyone shot at school divided by everyone that has gone to school and you have a rough estimate of your odds of being shot at school, which is most likely extremely small.
Overall, the probability is very close to 0.
Most people who are shot are not even aware of it at the time. Shock typically offsets the pain until later. Afterward, the pain can be quite severe, depending on where you are hit.
If you mean the odds of a child in the US being shot- actually, very low- and has been getting lower for several years. Some groups with a political agenda claim there are more deaths from children being shot than there are ALL deaths of children- so check your sources carefully- and see how they define "Child". Assuming child means a human under 18 years old, there about 74.5 million of them in the US (some groups consider a 26 year old to be a child) The FBI Uniform Crime Report shows 454 murders of children, with about 20% being shot. That is about 1 in 818,000. However, the odds of a child being shot goes up if you live in a high crime city, belong to a gang, or commit criminal acts.