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Initially there is 5 R out of total  13

5/13   choose a repub

 

now there is   4 out of 12 R left

4 /12    choose a R

 

now there is   3 outof 11 R left

 

3/11 choose R

 

5/13 * 4/12 * 3/11  = ............

First you add 5+6=11

Next you add 2+11=13

There is 5 Rebublicans now you take 13 and 5 and make it a fraction

5 is the Numerator

13 is the denominator 

the probability is 5/13 of a chance, this number can not be simplified 

answer: 5/13