Question 235235
Here are all of the possible combinations of 5 children:


G,G,G,G,G
G,G,G,G,B
G,G,G,B,G
G,G,G,B,B
G,G,B,G,G
G,G,B,G,B
G,G,B,B,G
G,G,B,B,B
G,B,G,G,G
G,B,G,G,B
G,B,G,B,G
G,B,G,B,B
G,B,B,G,G
G,B,B,G,B
G,B,B,B,G
G,B,B,B,B
B,G,G,G,G
B,G,G,G,B
B,G,G,B,G
B,G,G,B,B
B,G,B,G,G
B,G,B,G,B
B,G,B,B,G
B,G,B,B,B
B,B,G,G,G
B,B,G,G,B
B,B,G,B,G
B,B,G,B,B
B,B,B,G,G
B,B,B,G,B
B,B,B,B,G
B,B,B,B,B 



There are a total of 32 possible combinations.


From this list, we have the following combinations for 3 girls and 2 boys:


G,G,G,B,B
G,G,B,G,B
G,B,G,G,B
B,G,G,G,B
B,G,G,B,G
B,G,B,G,G
B,B,G,G,G
G,B,B,G,G
G,B,G,B,G
G,G,B,B,G


In this list, there are 10 different possible combinations.



So the probability of having 3 girls and 2 boys is: 


P(3 girls & 2 boys) = 10/32 = 5/16 = 0.3125



which is a 31.25% chance