[Help] probability of 2 point prize is 0.2. We generate 50 prizes what's chance they all 2 points

Probability of a prize for 2 points is 0.2 We generate 50 prizes what's the probability that all are 2 point prizes? Probability of 2 point prize: 0.2 Probability of 1 point prize: 0.8

We generate 50 prizes. I calculated average amount of 2 point prizes is 10 (50*0.2)

But how do I calculate probability of all of them bring 2 point prizes. I tried 0.2 ^ 50 but that just seemed off.

Also how I would do the probabiliy that ATLEAST 20 are 2 point prizes Would it be 0.2 ^ 20