Visualize my table well, and redraw clear decision network then re compute sub question B clearly.

$.....................................$

You are preparing to go for a bike ride and are trying to decide whether to use your

thin road tires or your thicker, knobbier tires. The advantage of the thin road tires is

that you can ride much faster. But, you know from previous experience that your road

tires are more likely to go flat during a ride. There is a $40\%$ chance your road tires

will go flat but only a $10\%$ chance that the thicker tires will go flat. Because of the

risk of a flat, you also have to decide whether or not to bring your tools along on the

ride $($a pump, tire levers and a puncture kit$).$ These tools will weigh you down.

$($a$)$ What are the three types of nodes in a decision network for this problem?

Draw the decision network. $10$ marks

$($b$)$ What is the optimal decision? What is the expected utility of the optimal

decision? Show clearly the detailed steps of deriving your answers. $15$ marks

The utilities of different cases are given in Table Q$2$ below.

Table $02$