# Write the Total Number of Possible Outcomes in a Throw of 3 Dice in Which at Least One of the Dice Shows an Even Number. - Mathematics

Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.

#### Solution

Total number of outcomes when 3 dice are thrown = 6xx6xx6=216

Number of outcomes in which there is an odd number on all the three dice =3xx3xx3=27

∴ Number of outcomes in which there is an even number at least on one dice = {Total possible outcomes}-  {Number of outcomes in which there is an odd number on all the three dice } =216xx27=189

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 4 | Page 45