1 The probability of a dry day is 5 1 If it is a dry day, the probability that Austin cycles to work is 5' 2 that he drives to work is 15 2 and that he takes the train to work is 3 1 If it is a wet...

Extracted text: 1 The probability of a dry day is 5 1 If it is a dry day, the probability that Austin cycles to work is 5' 2 that he drives to work is 15 2 and that he takes the train to work is 3 1 If it is a wet day, the probability that Austin cycles to work is 5' 1 that he drives to work is 5' 3 and that he takes the train to work is Determine the probability that Austin takes the train to work. (Hint: CREATE A TREE DIAGRAM IN YOUR NOTES AND USE IT TO SOLVE THIS PROBLEM) Give at least 5 decimal places, as needed.