The probability of A or B.
$${\frac{{\mathtt{4}}}{{\mathtt{52}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{13}}}{{\mathtt{52}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{52}}}} = {\frac{{\mathtt{4}}}{{\mathtt{13}}}} = {\mathtt{0.307\: \!692\: \!307\: \!692\: \!307\: \!7}}$$
The probability of the 5 of hearts must be subtracted since it was already included with the 5's
The probability of A or B.
$${\frac{{\mathtt{4}}}{{\mathtt{52}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{13}}}{{\mathtt{52}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{52}}}} = {\frac{{\mathtt{4}}}{{\mathtt{13}}}} = {\mathtt{0.307\: \!692\: \!307\: \!692\: \!307\: \!7}}$$
The probability of the 5 of hearts must be subtracted since it was already included with the 5's
