Answer to Question #233818 in Statistics and Probability for Vrushank

Question

Calculate the probabilities for the following statements as per the given scenario and draw the probability tree diagram also.

A study undertaken by the Rajan Supervisor of Elections in 2002 revealed that 44% of registered voters are ‘Dharwadi Yuth’, 37% are Rajmoti, and 19% are others. If two registered voters are selected at random, what is the probability that both of them have the same party affiliation?

Answer 1

The favorable outcomes are

$$''DYDY'', RR$$

Then the probability that both of them have the same party affiliation is

$$0.44(0.44)+0.37(0.37)=0.3305$$