Question 196
There are 4 identical fair dice. Let $x_i$ ($1 \leq x_i \leq 6$) be the number of dots on the face shown by the $i$-th die, $1 \leq i \leq 4$.
a) Find the number of possible tuples $(x_1, x_2, x_3, x_4)$.
b) Find the probability that there exists a number $x_j$ that is equal to the sum of the remaining numbers.
c) Find the probability that $x_1, x_2, x_3, x_4$ can be divided into 2 groups with the same sum.
a) Find the number of possible tuples $(x_1, x_2, x_3, x_4)$.
b) Find the probability that there exists a number $x_j$ that is equal to the sum of the remaining numbers.
c) Find the probability that $x_1, x_2, x_3, x_4$ can be divided into 2 groups with the same sum.