Question

How many three digit numbers have only even digits?

Answer 1

is zero considered even?

Answer 2

no just 2,4,6,8

Answer 3

ok for each place value there is a 4/10 chance its even
its a 3 digit num so 3 place values
\[(\frac{4}{10})^{3} = \frac{8}{125}\]
so each number has a 8/125 chance of having all even digits
1000 total possible numbers
\[\frac{8}{125} * 1000 = 64\]

Answer 4

ok thank i tried this and it was wrong

Answer 5

why arn't you using 0 as even?

Answer 6

hmm i can check again but i think its right...yeah maybe zeros count
in which case its 50/50 whether a digit is even

Answer 7

except fore the first digit. (it can't be zero)