So in summary, the decision tree has:

$1)$ An initial decision node with two options: non$-$refundable or cancellation

$2)$ A chance node for the non$-$refundable option, with two branches representing needing the room or needing to cancel $($but still paying $$189$ in either case$)$

$3)$ A separate chance node for the cancellation option, with two branches representing needing the room $($$$209$ cost$)$ or canceling $($$$209$ cost$,$ but you can cancel$)$

You need to book the room now, because there is a good possibility the hotel could sell out if you wait. There is$,$ however, some chance you will end up wanting to cancel the reservation. You will know if you need to cancel in time to do so$,$ if you pay the extra amount to get free cancellation. If you book the non$-$refundable room, you will end up paying for the room whether you need it or not.

Create a decision tree risk profile

I am stuggling with what the expected values would be$.$