Question Number 75802 by pete last updated on 17/Dec/19
$$\mathrm{A}\:\mathrm{fair}\:\mathrm{die}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{4}\:\mathrm{times}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{of}\:\mathrm{obtaining}\:\mathrm{a}\:\mathrm{6}\:\mathrm{twice}? \\ $$
Answered by MJS last updated on 17/Dec/19
$$\frac{\mathrm{1}}{\mathrm{6}}×\frac{\mathrm{1}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}×\begin{pmatrix}{\mathrm{4}}\\{\mathrm{2}}\end{pmatrix}\:=\frac{\mathrm{25}}{\mathrm{216}}\approx\mathrm{11}.\mathrm{57\%} \\ $$
Commented by pete last updated on 17/Dec/19
$$\mathrm{Thanks}\:\mathrm{a}\:\mathrm{lot}\:\mathrm{Sir},\:\mathrm{for}\:\mathrm{your}\:\mathrm{time}. \\ $$