1. A travel agency surveyed 125 potential cus- tomers. The following information was ob- tained: 68 wished to travel to Hawaii, 53 wished to travel to Las Vegas, and 47 wished to travel to Orlando. Morcover, 34 wished to travel to Hawaii and Las Vegas, 26 wished to travel to Las Vegas and Orlando, 23 wished to travel to Hawaii and Orlando, and finally, 18 wished to travel to all three top destinations. Answer the following questions using the pro- vided Venn diagram. (a) If you select a customer at random, what is the probability that the selected customer wanted to travel to none of the top three destinations mentioned? (b) If you select a customer at random, what is the probability that the selected customer wanted to travel to Orlando and Las Vegas, but not Hawaii? (c) If you select a customer at random, what is the probability that the selected customer wanted to travel to Orlando or Las Vegas, but not Hawaii? (d) If you select a customer at random, what is the probability that the selected customer wanted to travel to exactly two of the top three destinations mentioned in the problem? (e) If you select a customer at random, what is the probability that the selected customer wanted to travel to at least two of the top three destinations mentioned in the problem?

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