Assume that the total number of outcomes are 4 so

P(success)=3/4=p and P(failure)=1/4=1-p=q

now wih binomial expansion the answer can be found

P(X greater than or equal to 3)=5C3 p*3 q*2 + 5C4 p*4 q*1 + 5C5 p*5 q*0

270/1024 + 405/1024 + 243/1024 = 918/1024 = 0.896