Four houses are available in a locality. Four persons apply for the houses. Each applies for one house without consulting others. The probability that all the four apply for the same house is :
One person can select one house out of 4 = 4C1 ways = 4 Hence, three persons can select one house out of 4 in 4 x 4 x 4 = 64 Therefore, probability that all thre apply for the same house is 1/16
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