10 ζαριές

Ο Ευάγγελος ρίχνει ένα ζάρι $10$ φορές. 

Να βρεθεί:

${\displaystyle \frac{P(\nu \alpha -\phi έ\rho \epsilon \iota -\alpha \kappa \rho \iota \beta ώ\varsigma -\tau έ\sigma \sigma \epsilon \rho \alpha -\tau \epsilon \sigma \sigma ά\rho \iota \alpha )}{P(\nu \alpha -\phi έ\rho \epsilon \iota -\alpha \kappa \rho \iota \beta ώ\varsigma -\pi έ\nu \tau \epsilon -\pi \epsilon \nu \tau ά\rho \iota \alpha )}}$.