# Three dices D1,D2,D3 are thrown. Find the probability that two numbers of two dices matches only.

When the three dice are thrown,the total possibilities are $6×6×6$=216
We have to find the probability that two numbers of two dice match :

1)

2)
(This is because when the first die is thrown,any 6 numbers are  but when the second die is thrown 5 possible number are there because in this case the second die cant show the same number as the first die and similarly fir the third die 4 numbers are possible)
3)

SO the required probability=$\frac{90}{216}=\frac{5}{12}$
Regards

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