The probability of a dry day is 1/10
If it is a dry day, the probability that Linda cycles to work is 3/16
that she drives to work is 5/16
and that she takes the train to work is 1/2
If it is a wet day, the probability that Linda cycles to work is 1/7
that she drives to work is 5/14
and that she takes the train to work is 1/2

Determine the probability that Linda takes the train to work.
(CREATE A TREE DIAGRAM IN YOUR NOTES AND USE IT TO SOLVE THIS PROBLEM)