Suppose you have 3 jars with the following contents. Jar 1 has 4 white balls and 1 black ball. Jar 2 has 2 white balls and 1 black ball. Jar 3 has 1 white ball and 2 black balls. One jar is to be ​selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the​ first, second, and third jars are​ 1/2​, ​1/3​, and ​1/6 respectively. Find the probability the ball was drawn from Jar 3​, given that the ball is white.

What is the probability the ball was drawn from Jar 3​, given that the ball is​ white?


​(Simplify your answer. Type an integer or a​ fraction.)