Spin to Win a TV

Difficulty: Medium · Topics: Probability, Probability, Independent Events

In an electronics shop, a customer spins wheel I (eight equal sectors) twice. If the two results are the same, the customer spins wheel II (four equal sectors) and wins the prize shown.

graph "x":[-3.9,11.9],"y":[-3.9,4.8],"axes":false,"ink":true,"label":"Wheel I: eight equal sectors numbered 1 to 8. Wheel II: four equal sectors — LCD TV, computer, camera, plasma TV","items":["type":"circle","at":[0.0,0],"r":3.4,"ink":true,"type":"label","at":[0.0,4.15],"text":"Wheel I","italic":false,"size":14,"type":"line","from":[0.0,0],"to":[0.0,3.4],"ink":true,"width":1.3,"type":"label","at":[0.911,2.199],"text":"1","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[2.404,2.404],"ink":true,"width":1.3,"type":"label","at":[2.199,0.911],"text":"2","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[3.4,0.0],"ink":true,"width":1.3,"type":"label","at":[2.199,-0.911],"text":"3","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[2.404,-2.404],"ink":true,"width":1.3,"type":"label","at":[0.911,-2.199],"text":"4","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[0.0,-3.4],"ink":true,"width":1.3,"type":"label","at":[-0.911,-2.199],"text":"5","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[-2.404,-2.404],"ink":true,"width":1.3,"type":"label","at":[-2.199,-0.911],"text":"6","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[-3.4,-0.0],"ink":true,"width":1.3,"type":"label","at":[-2.199,0.911],"text":"7","italic":false,"size":12,"type":"line","from":[0.0,0],"to":[-2.404,2.404],"ink":true,"width":1.3,"type":"label","at":[-0.911,2.199],"text":"8","italic":false,"size":12,"type":"circle","at":[8.0,0],"r":3.4,"ink":true,"type":"label","at":[8.0,4.15],"text":"Wheel II","italic":false,"size":14,"type":"line","from":[8.0,0],"to":[8.0,3.4],"ink":true,"width":1.3,"type":"label","at":[9.394,1.394],"text":"LCD TV","italic":false,"size":12,"type":"line","from":[8.0,0],"to":[11.4,0.0],"ink":true,"width":1.3,"type":"label","at":[9.394,-1.394],"text