# QEducational Pyschology: In probability &statistics when a person comes up with an alternative answer, how is?

that response proved wrong ?

I'm writing an article on the thinking of the probability and statistics for a class of educational psychology . In mathematics there is the idea that people can show why something is true by using a method called "proof by contradiction . " But how that applies to a probability problem ?

For example , let's say two people have completely different answers to this problem . How refute the wrong answer ?

" The probability of deployment of the air bag in a car accident is 0.8 and the probability for cracking windshield is 0.2 . What is the probability that one of the events that occur , but not both ? "

Person A says : " P (A union B ) = 0.8 + 0.2 - (0.8) * (0.2) = 0.84 "

Person B says : " P (A intersect B ^ c ) + P ( A intersect B ^ c ) = 0.68 "

From the psychological point of view , I'm interested in why people think differently in probability and statistics. Each has its own logical way of thinking , but sometimes in mathematics , especially in the probability that the logic could be flawed because it is loaded with too many assumptions or incorrect assumptions .

This question still have no answer summary yet.   Anonymous