Cheryl has a collection of 4 red dice and 5 blue dice. She picks one die at random and rolls it 34 times.

With a red die, the probability of rolling a four is 0.29. With a blue die, the probability of rolling a four is 0.26.

What is the probability that she used a red die if she gets a four on 6 of the 34 rolls?

I understand that I have to construct a tree diagram and use conditional probability but I seem to be getting the wrong answer each time I do it. Can anyone help me with steps?