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Combinatorics

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Full House with Dice

COMBIN-LLID9L

Roll five standard 6-sided dice simultaneously. What is the probability that we get a full house (for instance three 4's and two 6's)?

A

$\cfrac{25}{648}$

B

$\cfrac{5}{6^5}$

C

$\cfrac{6}{5^6}$

D

$\cfrac{25}{1944}$

E

$\cfrac{625}{1944}$