Probability of products when rolling 2 dice If you roll two six-sided dice twenty times, what is the probability that the product of the two numbers will be an odd number? 
 A: HINT:
The make the product odd, the two multiplicand must be odd
The probability of odd product in single roll will be $\dfrac36\cdot\dfrac36$
A: $\newcommand{\angles}[1]{\left\langle\, #1 \,\right\rangle}
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 \newcommand{\expo}[1]{\,{\rm e}^{#1}\,}
 \newcommand{\fermi}{\,{\rm f}}
 \newcommand{\floor}[1]{\,\left\lfloor #1 \right\rfloor\,}
 \newcommand{\half}{{1 \over 2}}
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 \newcommand{\Li}[1]{\,{\rm Li}_{#1}}
 \newcommand{\norm}[1]{\left\vert\left\vert\, #1\,\right\vert\right\vert}
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\begin{align}
\end{align}
$$
\overbrace{1 \over 36}^{\pars{\dsc{1,1}}}+
\overbrace{1 \over 36}^{\pars{\dsc{3,3}}}+
\overbrace{1 \over 36}^{\pars{\dsc{5,5}}}+
2\times\overbrace{1 \over 36}^{\pars{\dsc{1,3}}}+
2\times\overbrace{1 \over 36}^{\pars{\dsc{1,5}}}+ 
2\times\overbrace{1 \over 36}^{\pars{\dsc{3,5}}}=9\times{1 \over 36}
=\color{#66f}{\large{1 \over 4}} 
$$
