Question Number 142947 by mathdanisur last updated on 07/Jun/21
$${What}\:{is}\:{the}\:{probability}\:{that}\:\mathrm{3}\:{points} \\ $$$${will}\:{fall}\:{twice}\:{when}\:{a}\:{dice}\:{is}\:{thrown} \\ $$$$\mathrm{4}\:{times}? \\ $$
Commented by mr W last updated on 07/Jun/21
$${p}=\frac{{C}_{\mathrm{2}} ^{\mathrm{4}} ×\mathrm{5}×\mathrm{5}}{\mathrm{6}^{\mathrm{4}} }=\frac{\mathrm{25}}{\mathrm{216}} \\ $$
Commented by mathdanisur last updated on 07/Jun/21
$${thanks}\:{Sir} \\ $$
Commented by mathdanisur last updated on 07/Jun/21
$${Sir},\:{C}_{\mathrm{2}} ^{\mathrm{4}} \:{or}\:{C}_{\mathrm{4}} ^{\mathrm{2}} \:? \\ $$
Commented by mr W last updated on 08/Jun/21
$${the}\:{same}.\: \\ $$
Commented by Olaf_Thorendsen last updated on 08/Jun/21
$$\mathrm{In}\:\mathrm{France}\:\mathrm{we}\:\mathrm{write}\:\mathrm{C}_{{k}} ^{{n}} . \\ $$$$\mathrm{In}\:\mathrm{UK}\:\mathrm{we}\:\mathrm{write}\:\mathrm{C}_{{n}} ^{{k}} . \\ $$$$\mathrm{But}\:\mathrm{it}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}. \\ $$