In: Statistics and Probability
In a red box, there are 4 vanilla ice-cream and 8 chocolate ice-cream whereas in a blue box, there are 3 vanilla and 3 chocolate ice-cream. An ice-cream is randomly chosen from the red box and put into the blue box, and an ice-cream is then randomly selected from the blue box.
a) what is the probability that the ice-cream selected from blue box is a vanilla ice-cream
b)what is the conditional probability that the transferred one was chocolate ice-cream, given that a vanilla ice-cream is selected from the blue box