Wireless identity theft is a technique of stealing an individual's personal information from radio-frequency-enabled cards (e.g., credit or debit cards). Upon capturing this data, thieves are able to program their own cards to respond in an identical fashion via cloning. A method for detecting cloning attacks in radio-frequency identification (RFID) applications was explored in IEEE Transactions on Information Forensics and Security (Mar. 2013). The method was illustrated using a simple ball drawing game. Consider a group of 10 balls, 5 representing genuine RFID cards and 5 representing clones of one or more of these cards. A coloring system was used to distinguish among the different genuine cards. Because there were 5 genuine cards, 5 colors-yellow, blue, red, purple, and orange-were used. Balls of the same color represent either the genuine card or a clone of the card. Suppose the 10 balls are colored as follows: 3 yellow, 2 blue, 1 red, 3 purple, 1 orange, (See figure on p. 144.) Note that the singleton red and orange balls must represent the genuine cards (i.e., there are no clones of these cards). If two balls of the same color are drawn (without replacement) from the 10 balls, then a cloning attack is detected. For this example, find the probability of detecting a cloning attack.

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