2002 Math OSN, Number 2

5 dice will be thrown one by one, then the product of the 5 numbers will be counted. Which will be higher, the product probability of 180 or the product probability of 144?

The original question did not have choices, i added one because if there are only 2 answers, or else everyone will get it
180 144

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2 solutions

Abhishek C S
Apr 23, 2015

For 180 to appear the no. shown above the dice has to be higher so the probability reduces as the sum increases so greater chance is to get 144 since even if we get lower digit it has greater probability

Moderator note:

I disagree. Using your logic, we should get the same probability of the case of obtaining a product of 2, and the case of obtaining a product of 3.

Marco Faustini
Apr 20, 2015

Private Sub CommandButton1_Click()

Dim a(6), b(6), c(6), d(6), e(6), f(6) As Double Dim prodotto As Double Dim conta As Double conta = 1

For i = 1 To 6
    For j = 1 To 6
        For y = 1 To 6
            For Z = 1 To 6
                   For h = 1 To 6
                           For k = 1 To 6

                            a(i) = i
                            b(j) = j
                            c(y) = y
                            d(Z) = Z
                            e(h) = h
                            f(k) = k

        prodotto = a(i) * b(j) * c(y) * d(Z) * e(h) * f(k)

        Cells(conta + 1, 1).Value = a(i)
        Cells(conta + 1, 2).Value = b(j)
        Cells(conta + 1, 3).Value = c(y)
        Cells(conta + 1, 4).Value = d(Z)
        Cells(conta + 1, 5).Value = e(h)
        Cells(conta + 1, 6).Value = f(k)
        Cells(conta + 1, 7).Value = prodotto
        Cells(conta + 1, 8).Value = conta

        conta = conta + 1
Next
    Next
        Next
            Next
                Next
                    Next

End Sub

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