# Fall sum or same

Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice.

Result

p =  0.222

#### Solution:

$n_{1}=6: 11,22,33,44,55,66 \ \\ n_{2}=3: 46, 55,64 \ \\ n_{1} \cap n_{2}: 1 55 \ \\ \ \\ p=\dfrac{ 6+3-1 }{ 6 \cdot \ 6 }=\dfrac{ 2 }{ 9 } \doteq 0.2222 \doteq 0.222$

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