A bag contains 200 balls that are either red or blue and eit

A bag contains 200 balls that are either red or blue and either dull or shiny. There are 55 shiny red balls, 91 shiny balls and 79 red balls.

A) If a ball is chosen at random, what is the probability that it is either a shiny ball or a red ball?

B) What is the probability of the chosen ball being dull conditional on it being red?

C) What is the probability of the chosen ball being shiny conditioned on it being red?

Solution

This is a good case of complementry counting. The first thing you should do is find the dull blue balls and than can do 200-(dull blue balls)/200 to find the probability of getting a shiny or a red ball. 200(total)-91(shiny)-71(red)+55(They are both shiny and red and counted twice) 93 are neither red or shiny so the probability for pulling a dull blue ball is 93/200 or 46.5% the probability you don\'t pick a dull blue ball( shiny or red ball) is 100-46.5=53.5% please messadge me if you have any more trouble on this problem!!