this probability situation – If a couple of people decide to travel on separate airliners instead of traveling together, have they halved their chances of dying in a plane crash, or doubled them?

Question

this probability situation – If a couple of people decide to travel on separate airliners instead of traveling together, have they halved their chances of dying in a plane crash, or doubled them?

In: 3

Answer 1

The doubled the chances that someone would be involved in a plane crash, but they squared the chance that they will both be in a plane crash.

Let’s say the chance of a plane crashing is 1/100 (not a real number). There are two planes, and each one has a chance of 1/100. The chance that either one goes down is 2/100 or 1/50. The chance that both planes will crash is (1/100)^2 or 1/10000