The size of the sample space is 15, because there are 15 possible tiles to choose from.

List the event space for Hank winning a point: {o, a, i, i, y, a, e}

List the event space for Rosa winning a point: {p, r, b, b, l, t, y, g, m}

The probability is $\displaystyle\frac{{7}}{{15}}\usepackage{cmbright}\Huge\$ of Hank drawing a winning tile.

The probability of Rosa drawing a winning tile is $\displaystyle\frac{{9}}{{15}}\usepackage{cmbright}\Huge\$ , which is greater.