A Dice Probability question!

Question

I am attempting to calculate a dice probability

the problem that I cannot seem to figure out how to calculate is as followed

I want to see the probability of out of "X" 100 sided dice rolls how many are equal to or below "Y" value

Ex: if I were to roll 10 , 100 sided dice what would be the average or probability of "X" of them being equal to or below 30 statistics

Answer 1

Binomial

N=10 trials

p = 0.3

Prob ( X= k) = (N choose k) (0.3)^k (0.7)^(10-k)

k N-k N choose K p^k q^(N-k) prob cumulative prob.

0 10 1 1 0.0282475249 0.02824752489999998 0.02824752489999998

1 9 10 0.3 0.040353607 0.12106082099999993 0.14930834589999992

2 8 45 0.09 0.05764801 0.23347444049999988 0.3827827863999998

3 7 120 0.027 0.0823543 0.2668279319999998 0.6496107183999996

4 6 210 0.0081 0.117649 0.20012094899999988 0.8497316673999995

5 5 252 0.00243 0.16807 0.10291934519999994 0.9526510125999994

6 4 210 0.000729 0.2401 0.03675690899999998 0.9894079215999994

7 3 120 0.0002187 0.343 0.009001691999999995 0.9984096135999994

8 2 45 0.00006561 0.49 0.0014467004999999993 0.9998563140999993

9 1 10 0.000019683 0.7 0.00013778099999999996 0.9999940950999993

10 0 1 0.0000059049 1 0.0000059048999999999975 0.9999999999999992