Question

There are 4 boys and 3 girls. What is the probablity that the boys and girls sit alternatively?

Answer 1

the probability is 3/4

Answer 2

4 boys can be arranged in 4! = 24 ways

3 girls are are allowed to sit in alternate positions in between 4 boys.

So they are arranged in 3! = 6 ways.

Totally 24*6 = 144 ways

All possible ways imply arranging 7 people i.e 7! = 5040 ways

So probability = 144/5040 = 0.02857