If there is a ten percent chance of dying every time you cross a road what is the probability of being alive after crossing ten times?

Answer 1

The probability of being alive after one crossing is 90%, or 0.9. After 2 crossings, it's 0.9 * 0.9. After 10 crossings, it's 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 = 0.910 = 0.3487