You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7. What is the probability that you get a sum of 4 before the sum of 7?
You can see the figure or draw one of your own. The scenario is as shown. There are three houses represented with the triangle over the square. There are three utilities: W, G and E representing water, gas and electricity respectively. Can you draw a line and get each utility into every house (9) total lines without ever crossing any line?
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