four dice are thrown. What is the probability that the sum of the numbers appearing on the dice is 23?

Dear student,

Please find below the solution to the asked query:

The total number of sample points are   nS= 64=1296Let E be the event that the sum of the numbers on die is 23. We get a sum 23 when three 6's appear and one 5 appear.This implies that,   E= 6,6,6,5, 6,6,5,6, 6,5,6,6, 5,6,6,6Therefore the required probability is,     PE=nEnS             =41296             =1324

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