In the 2010 gubernatorial race in California, politicos Meg and Jerry agreed to show up at

one final face-off before the election. Instead of a debate, they participated in a Halloween

pie-throwing contest. They stood 10 paces from each other and threw custard pies at each

other until one scored a hit (H). Assume that all throws were independent and that the

respective probabilities of a hit was .2 for Jerry and .1 for Meg. (a) If Meg threw first,

what’s the probability that she would score the first hit. (Note that this will happen only on

sequences of the following type: H, MMH, MMMMH, etc., where M stands for “miss.”)

(b) If Jerry threw first, what’s the probability that Meg would score the first hit?

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