Histogram of number of units selected

[bassplr19]

I have some things that have a 7% chance of being blue, 10 of these things are put in a box. What is the percent chance that the box will have exactly one blue thing? Two blue things? and so on..

I have simulated this and came up with the following (all appx)
0 - 37%
1 - 37%
2 - 18%
3 - 5%
4 - 1.2%
5 - 0.12%

What equations do I use to solve this exactly?

 

[EnumaElish]

Prob[k out of 10 things are blue] = 10!/(k! (10 - k)!) .07^k (1 - .07)^(10 - k).

 

[bassplr19]

Thanks