A lake contains two kinds of trout, rainbow and brown.
2. A lake contains two kinds of trout, rainbow and brown.
It is estimated that 40% of the trout are rainbow.
Of the rainbow trout, 60% are mature, and of the brown trout, 30% are mature.
You have a trout on the line and see that it is a keeper (mature).
What is the probability that it is a rainbow?
Please make sure to show your work.