Cases in Probability
Conditional Events - Coins & Jars
Suppose there are two jars, A and B. Jar A contains 4 red and 3 blue balls. Jar B contains 2 red and 5 blue balls.
Flip a coin twice and select Jar A on 2 heads. Otherwise select Jar B. Next, draw [randomly] one ball from the selected jar.
 
What is the probability of getting a red ball
 
 
Given a red ball was selected, what is the probability that it came from Jar A