Let \(X\) and \(Y\) be independent random variables with probability density functions (pdfs) \[ f_X(x)=\frac1{\sqrt{2\pi}\sigma}exp\left\{-\frac{x^2}{2\sigma^2}\right\},\quad f_Y(y)=\frac1{\sqrt{\nu} B(\nu/2,1/2)} \left(1+\frac{y^2}{\nu}\right)^{-(1+\nu)/2}, \] respectively, where \(x,y\in\mathbb R\), \(\sigma>0\), \(\nu>0\). Explicit expressions for the pdf and cumulative distribution function (cdf) of \(|XY|\) (Section 2) and \(|X/Y|\) (Section 3) are given. Estimation of the associated credible intervals is considered in Section 4. Tabulations of percentage points and a computer programs in MAPLE for generating them are provided.